NYU is an option.
The 16 on PAT is a bit weak, because Columbia to emphasize on DAT's, but hang in there. Don't be discouraged by someone's posting, or the high test scores you see on SDN. Everyone here scores high.
I commend you for even posting your scores, and visitng SDN. I was initially too scared to even post here. So keep it up, and persistence will get you very very very far.