i would consider it a date. especially if you do anything after the drinks. you can't make him want to take you out. either he will be feeling you or he won't. just be yourself :) let urself have fun and make sure he's enjoying himself :) then ur odds are pretty good.
You can't make him. Although if you like him and are having a good time be genuine "I'm having an amazing time thank you for asking me out." Nothing helps a guys confidence in asking for a second date more than affirmation that your enjoying it too.