I agree with everything that has been said about counseling - do that first and foremost.
But let me add this: it is not unheard of for children in puberty to act like your daughter (and the age seems to fit). Obviously you cannot forget the impact of her trauma, but if you had left the story about your accident away and just told us this about your daughter:
she seems to be full of hate, never listens, comes and goes as she pleases, back talks and cusses me out, bragging how good her life was when her brother and I were [away]. Wishing we died blaming me for everything, and always complaining how bad her life is.
Then my advice would maybe also to get counseling (family therapy / youth therapy), but on the other hand my advice would also have been that that can happen with pretty normal children, out of the blue sky, when they enter puberty.
So while you absolutely must see trauma counseling for your daughter, yourself, maybe both together (let the counselor help you find a good combination), I have an advice for yourself: it might be that you are in for a quite long time span where your daughter behaves like this. It might be that you will find it very hard indeed to change your daughter. Be glad that she seems to cope with the "real world" and only freaks out in the family. Try to see the good stuff, and allow her to become her own person. I know from experience that that can be very hard to the extent that you can't seem to manage; and there is help out there. But it could well be that the behaviour of your daughter has always been in your future, and has just been accelerated by the accident.
Especially shouting really evil things (like the wish that you should die) is a well-known trope - children hardly know what they are saying, in those situations, and will utter things that are ridiculously hormone-driven nonsense. Unfortunately, when emotions are high, it is hard to see that, and especially intelligent children like your daughter have a knack to hit where it hurts.
You can either fight with her for the next 10 years. Or work hard on yourself to find a way to cope with that behaviour/mindset without taking more harm yourself than you already did. If you find a good therapist for the trauma issue, even if they work mainly with your daughter, be sure to get a sitting or two with them alone. They should be able to help you getting over the initial shock of your daughter changing in this way.
Whatever you do, get all the help you can. In addition to counseling, maybe you can intensify her contacts with same-age friends (ask her to invite them to stay over, more often, etc.); maybe you find distant family that can do stuff with your daughter in her free time, and so on. Maybe there is some youth centre in your city where you can introduce your daughter and give her a group of new friends. Maybe you find new hobbies where she can live out her energies (music, dancing...).
As others said, I'm just a person on the net. Your counselor should overrule whatever you read here.
She is not you
Puberty is high time to put a clear separation between your child and yourself. You have to see and acknowledge that problems that your child has are not automatically your problems.
Note, as it has been commented on: When I say "their problems are not your problems" I mean that you should not try to "own" their problems. You do not need to *solve* all their problems for them. You should still love them, be open for them, help them with whatever they need, but allow them to grow from solving their own challenges wherever they can.
she seems to be full of hate
That is her problem, do not make it yours. You can help her solve it (by sending her to counseling etc.), but don't let her hate affect you.
Avoid the need for her to listen to you. This means you stop telling her what to do on a day-to-day basis (i.e., no "it is cold, wear a thicker sweater", "have you eaten/brushed your teeth/ etc."). We are not talking life-threatening things here.
Let her do a few things wrong, and the universe will tell her where some limits are (by getting a cold, getting bad teeth etc.).
If you have a problem with TV/sweets consumption or the like, then talking is not a particularly good way to solve it. Plugs can be pulled, TVs can be removed, sweets can be left at the store, etc. ... or you decide that this is not a very important problem, and just let it go for now; or, if you are so inclined, indulge together with her.
Speaking of which, this is also a good time to ramp up her allowance while at the same time having her buy more stuff herself instead of buying it for her.
All of this means she takes on more responsibilities, which is what she wants, and it is a good thing.
comes and goes as she pleases
Well, this is something you will need to "fight out" with her.
Tell her a clear time span in which she can come and go as she pleases. Make sure that she tells you where she goes. Avoid any kind of discussion, and cut her as much slack as you can without it getting really dangerous. (She cannot go into a drinking place at night, obviously.) Keep it on a factual base.
back talks and cusses me out
Welcome to the club. :)
bragging how good her life was when her brother and I were [away]. Wishing we died blaming me for everything, and always complaining how bad her life is.
Hormones talking. She hurts and at that age she does not know a solution except to hurt someone else. Counseling will help to give her another outlet. Don't let it get to you, she is not herself.
And even if she is herself, and it's not puberty, but she really really means it, then you still do not let it get to you. It is her problem, not yours. Your job is to make sure she has ways to get out of her situation (by counseling and by staying open to her). You are of course allowed to let her know when she crosses lines, you are not supposed to "flop over" and just take a beating every day. But don't let it get to you, you have to protect yourself just as much as her.