I'm not going to give it up until you go date with me, so won't you give me at least a chance? It actually includes many good grammars... デートしてくれる- verb+te+kureru =you do (something) for me, I get the benefit of your doing something for me. ～まで until～ あきらめない verb in present negative form [clause]から.... [....] therefore/so, .... せめて at least, in your best intention ～をくれませんか verb+ませんか Asking if the speaker would do something or not. It's a polite way to ask to do something.