I agree I know it is hard to be in the situation your in and that anger is a part of maybe not feeling loved. Are there any homes for unwed mothers you can go live in? Can you be emancipated? Basically can you go to a judge and be released from the social service system so you can get a small place of your own that is probably not the ideal way to go as your still pretty young and have some anger issues and such. That would mean you would be responsible for working your own job and paying your own bills. I think the best thing for you is that you get some counseling for your anger issues before they become worse. I know it is difficult to live without your child how ever do you feel that you are a good role model for your son right now? Do you think you can handle the stress of caring for him 24 seven when you say you have some anger issues and such? I am not trying to throw you under the bus so to speak Ii am asking because that little boy relies on you to show him how to be a man someday. He will see you actions and then repeat them when he is older. monkey see monkey do kind of thing. Maybe god has it to where he is giving you time to correct things now before a permanent home is found for you so you can finally have peace and your son. Just some things for you to think about.
I'm guessing a home for unwed mothers wouldn't be keen on taking in a 16 year old male.
To the OP
To actually answer the OPs question, the Christian way to handle this is with patience. And trust that God will work things out. It sounds cliche, i know. And 9 times out of 10 when people say it, it is cliche. But there are those moments when it really comes down to that and nothing else. You probably have a high likelihood of living out the rest of your two years where you're at. So your best bet is to spend your time dealing with that in the best possible manner, as well as preparing yourself for your eventual release at 18.
I don't know what all is and isn't allowed with someone in your situation, so if any advice isn't possible, then chalk it up to my inexperience in the specifics. If possible, and you aren't already, do whatever you can to begin saving financially for your adult release. Also begin working through the anger issues, and any others you have. If counseling is an option there, take it. If you're already in it, don't take it for granted, use it to help you. If you have a bible, keep your nose in it. The bible can be a brain washer, of sorts. It can be a thought replacer. If you have anger issues, when you feel yourself getting angry then memorize scriptures on controlling anger. Quote them to yourself before speaking or acting on your anger.
If you have any needs for meds, then be sure to take them and stay consistent.
It's commendable that you want to take care of your child, and to me that shows that you are a person of good heart who is just in a tough situation. So you have some time to become the kind of person your child will need you to be. And to prove to adult courts that you will be mentally and emotionally stable enough to take your child at 18. So don't focus on how bad things are now. Look to your future and prepare yourself to be ready for that time. Let God work in you and heal you. Get closer to Him. You have the right attitude, so you already have a good foundation to build yourself up on.