It is normal as in "biologically normal" - if the girls are not nymphets but look like young women, it is normal, and the marriages between 38-year-old men and, let us say, 16-18 (probably not down to 14, no) year old women used to be quite common. Meaning, arranged marriages with all the conventions and customs of the period satisfied, as in "dowry, matchmaker, parents' blessings, the involvement of the organized religion, etc. etc."

The current customs and conventions frown on that kind of age difference.

I think the fact that he does things that you do not like should disqualify him without further ado.

In other words, drop him. Not every man is attracted to young women. Some people do not even consider the age when they get attracted. Some people prefer women who are more mature. Everything is possible. If you do not like it, definitely do not go for him.