What do you think of a first date with a man and both like the date & each other a lot. He calls right away about liked date & wants to go out again. He calls, again but never gets around to when 2nd date? Talks about where to go etc. Confused. Still likes me, etc. Should I give up or what? Should I call him & ask him out or forget it?

It seems that he is not sure of your feelings toward him & so he only gave tentative suggestions of a second date.
You should give him some encouragement by giving him a call, just to let him know that you like him. Only then he would be confident of making a second date with you.