I feel really bad for you, because of what has happened.
I will give you the same advice as some other here did;
Do NOT loose your faith in Allah (swt). Pray to Allah (for help) and He will help you, do not let this thing with your father destroy your faith. I believe it won't if you just would realise, that in times like these, there is nobody else than Allah (swt) who can give you strenght, help you and whom you can rely on completely. Because Allah (swt) doesn't make mistakes. Everything happens for a reason.

And to be completely honest, I think your reaction is fully understandable. You are only human, and you love your father and he hurted you so bad, by hurting another person you love, your mother, so how can people even think that it was bad of you to react like you did? I know I would do the same...
What I want to say is, it was OK for you to react so strongly and let's be honest, you told your father what he did to you has hurted you really badly and this on the other hand shows how much you love him...

Now when you told him how you felt, go and listen to what he has got to say.
I beg you to do so, because if not, you will regret it. Pray for strenght from Allah (swt) and confront him. Ask all questions you have, he will have no choice but to say at least something. You NEED to hear him say something, because without that he has talked to you, you will not get over this depression.

Allah (swt) gave you two ears and one mouth, so listen more than you talk.

Listen to him... And inshallah, things will be better soon.
Also, I'd like to add, when you have talked with your father, you must talk with your mother. No, even better, ask her how she feels, how she is doing and if you can do anything. She is also suffering. You are suffering together, so make sure you both will help each other get through this...

May Allah (swt) help you and your family!

Aameen to all the duas.