That is.. odd.

Is there some cultural stuff going on? It may add some context (although doesn't justify anything IMO).

What are your long term plans? Are you guys planning on marriage/long term relationship. From a cursory look it seems like it. Isn't it going to be weird that if/when you do get married the Airbnb manager is the person he's marrying..

A practical question. How does one find a partner to marry without dating?

Another question, how do his parents feel about honesty/lying? I'm sure they don't approve of that either. Is lying to meet one of their other "rules" worth it?

This is definitely something that is breakup worthy in my opinion. If he agrees with these rules so much, and wants a long term relationship with you he should marry you. Regardless though, he is his own person and should not have to live by his parents wishes.

If you're looking for opinions on whether this acceptable or not, it is definitely not acceptable in my opinion.