Drinking acceptable for both men and women. Especially beer.
Czechs tend to drink a lot but being drunk is not considered to be cool. However it can be OK in small groups of close friends celebrating and event like a graduation party.
When it comes to dating, guys usually ask girls out, but it’s not a rule.
A good first date can be going to a movie and then to grab a drink or dinner.
Most girls will not usually not go further than a first kiss on first date.