Kissing on the first date? NO! Just NO!
Kissing is a sign of intimacy for someone you know well and care about and have some kind of commitment to. I don't see how one can have that after a first date. I think some just kiss because it's almost an unsaid formality. To me kissing isn't a formality.
As far as the woman paying. I think FOR SURE on the first date both should pay their way. There shouldn't be any reason for a woman to feel pressured for a second date or anything else after a first date. Some gals may feel pressured if he pays the first time.
After the second or third time, sure he can pay, but honestly, I still would prefer for her to pay, just because of the pressure on her thing.
Plus, getting to know someone shouldn't be about a series of events where you have to pay some admission or price to do something. Find some stuff to do that isn't a pay to do activity.