i need a late night restaurant quiet 10-20$ per person
What day of the week? That GREATLY influences your selections.
Also if you're looking for sit down service that late AND can't pay more than $20 AND need it to be quiet, your choices of non St Marks Place, non-Italian, non-Chinese, non-diner, and non-bar spots will be pretty limited.
Is counter service OK? Does your $20 limit include tax and tip? Would you do a take out spot with pizza, maybe? May not fulfill your "quiet" criteria though.