Should I believe my boyfriend that when he went to Amsterdam he got high but didn’t go to the red light district just saw from the windows?

If your BF hasn't given you any other reason to distrust him, then you should trust him.  Jealousy isn't pretty, especially when there is nothing supporting it. 

If your BF hasn't given you any other reason to distrust him, then you should trust him.  Jealousy isn't pretty, especially when there is nothing supporting it. 

That depends.  Does he go to prostitutes at home?

The red light district is pretty central and lots of people go there just to look in the windows. It's likely he went, but that doesn't mean he went in anywhere.

What I saw in the windows would demand desperation, not lust. eeewwwww!

If you have a good relationship, then you should believe him.  You must have been harboring this for a long time as the world has been in lockdown for months.