I am so sorry for your situation it sounds very hard especially with a young baby.
This is when sponsorship is wrong because he is taking away your basic rights. No one should keep you in your house against your will. Especially as he is not Qatari but a guest here himself.
I am sure you want to be a good wife and mother but it seems like the situation is impossible.
Good luck to you dear.
Check the plate on the MOI website and check if it has any outstanding violations.