psst -- i did my best to keep this gender neutral, so i'd prefer if you do the same if you want to talk about it or ask any questions!
rather than additional genders, the a/b/o dynamics relate more to societal standards & expectations. alphas are expected to be aggressive, dominant leaders, and will be granted better job opportunities. omegas are expected to be submissive, feminine, and will be more likely to get jobs in which they take care of people and/or are pretty. depending on financial status, betas can go either way.
wolves are weak to silver first and foremost; it's the only thing that can pierce them and they will heal from at a human pace. wolfsbane will make them sick, but unless it's in large amounts it won't kill them.
the presenting is like a second wave of puberty at around 16-18 (later is considered a late bloomer, but it does happen), where alphas go into their first rut and develop their knot and grow more muscle mass and omegas will go into their first heat. this is when pheromones become a Thing that set you apart from others, and your smell starts to become your own. betas are unaffected by this puberty, so alphas are generally easy to spot in a crowd, while omegas and betas can be difficult to tell apart just by appearance. of course, this is stereotypes; there's always going to be someone who doesn't fit them.
though it can change by genetics, generally alpha/alpha pairs will produce an alpha child, beta/beta = beta, and omega/omega = omega. but the most common pair is alpha/omega, which can produce an alpha, beta, or an omega. alpha/beta = alpha or beta, and beta/omega = beta or omega. (note that this is not always the case, as certain families are more likely to carry on certain traits than others; this is without factoring in genealogy) betas, in all cases, are less likely to happen than alphas, and alphas are less likely to happen than omegas. that being said, due to sexual incompatibility, dmab/dfab alpha/alpha pairs are very uncommon.
children tend to be born in litters of 2-4, but they're not generally referred to as twins+; they're actually capable of having multiple different parents. any more than 4 carries the risk of health complications in both the children and the person birthing them.
wolves can shift into, yknow, wolves whenever they feel (or whenever their emotions are too strong). generally their wolf form is the same height as their human form at the shoulders, so some alpha wolves are over six feet. on full moons, they shift into something in between wolf and human, because it's forced. in either of these forms they can mate and get the pregnant, but if they do, they won't be able to shift back until they've given birth as this will likely terminate the pregnancy (these pregnancies move faster than normal, and the babies are born in the same form as the person birthing them, which can get complicated integrating them into human society, and is why they generally prefer not to mate in these forms)
wolves that are turned will generally be betas, but every now and then you'll see a turned alpha or omega. turned omegas are much more accepted than turned alphas. turned alphas rarely have their own packs; when they're in one, they'll be a submissive alpha unless they earn it. of course, they're still above the betas and omegas in the pack, but only barely, and their dominance is frequently challenged (moreso by betas than omegas). in general, a turned wolf will be beneath any born wolf of the same rank.
transgender people (gender, not a/b/o) are relatively common among wolves. gender isn't particularly important to them, so it's not considered strange to present however they prefer. due to their natural resistence, they unfortunately cannot choose to have surgery, unless with silver intruments, which would be dangerous for obvious reasons, but also just unlikely to find in the hands of someone who isn't specifically performing surgeries for wolves.
note that most of this is the average. being born or made a certain way does not determine how a person, regardless of species or supernatural inclination, will act or present.
packs are either immediate family or a secondary family, usually around 5 members and very rarely more than 15. multiple alphas is a bad idea because they may butt heads. multiple omegas, however, is suggested; traditionally, omegas will keep the peace, and are generally social beings that prefer the presence of other omegas for their own safety.
members of packs do not have to live on the same property, especially if there's multiple alphas, but they will generally have their own territory that they all live within.
joining a pack requires the trust of every member -- it doesn't happen overnight, it happens after worming your way into the pack's collective heart. human loved ones will often be treated as members of the pack, and benefits and protections will be extended to them, even if they're unaware.
conflict within a pack can send omegas into heat in a biological effort to dissuade tension or at least distract from it -- unfortunately, with the additions of emotions and mates, this can increase tension, especially between alphas.
breaking a mate bond will easily get even an alpha exiled from the pack.
no mpreg no ass lube seriously who comes up with this shit. also there's knots. dfab alphas have a knot inside their vagina that clamps down on anything inside it during orgasm to prevent anything from escaping. both types of knots will last for about half an hour, rarely longer. these knots are why dfab/dmab alpha/alpha pairs are so uncommon -- the sex is often painful for both partners.
omegas of all genders go into heat without suppressants. heats will be, on average, three to five days every three months, and rarely more, but some cycles are different. dmab heats are very painful and they feel like death; sex DOES ease the pain, esp a knot, but not completely. in all cases, heats make an omega extremely sensitive, physically and emotionally.
for a few days after heats, omegas have a sort of false pregnancy and start to nest; they can be territorial, and if someone that isn't their mate intrudes they may become aggressive.
betas are better at smelling things than alphas & omegas because they're relatively unaffected by pheromones so most other things are a lot clearer to them; heat/rut pheromones can fuck with them but it depends on the person and the proximity. when mated with omegas, a beta's body will start to develop alpha stuff over time (they grow knots, but smaller than most alphas) and vice versa for when mated with alphas (they respond to their alphas rut and can even develop a short heat)
alphas have two ruts per year, a week in spring and a week in fall. prolonged exposure to an alpha in rut will trigger a short heat in omegas that aren't taking suppressants and betas they're mated with, and the same goes for alphas when exposed to an omega in heat. during ruts, alphas are aggressive with each other and are focused on breeding to the point that any other activities will be forgotten within minutes of attempting, and because of this, alphas with a sexual outlet during ruts tend not to take very good care of their other needs like eating and sleeping.
post birth, dfab wolves will not go back into heat/rut at least until the children are fully weaned off milk and are eating solids, usually about a year after birth. dmab wolves with dfab mates and children will still go into heat/rut, but their mate will not generally respond.
wolves will generally only have one mate their whole lives. mating is a bond consummated by a mutual bite to the neck, and cannot be broken unless by a serious break of trust or by death. they feel each other's emotions and sensations, though dulled somewhat, and always smell mated, which is generally considered off limits. it's an equivalent to marriage, though obviously not recognized legally. because of this, it's considered improper to mate while the omega is in heat and/or the alpha is in rut, because they're not in their right mind. (this absolutely still happens.)