Would you go on a date with someone you like, but don't necessarily have feelings for? Why/why not? ?

Sure; why not? Obviously not if it was an evening starting with drinks then a romantic dinner followed by dancing; but an hour over a coffee or two, or a trip to a movie and a pizza afterwards to discuss what you saw?

Absolutely.

Yes.... Yes.... Yes.

Once you kiss, you will definitely feel sth 

Sure, no love feelings. But good company is always welcomed.