Firstly need you need to get good sleep to
a) look after your children
b) tackle this situation

whether you stay or leave you need to find ways to communicate with your husband.

Women do have rights here just in a different way to the West.

you need to establish what your rights are...do this by reading the posts and maybe contacting a lawyer.

PM and Aisha gave good advice

If you weren't married here then divorce in Qatar can be a long and arduous process.