Hi madness , You said those are examples of some of the issues. So I will take it as it is more areas as well that it affects. If it is interfering or obviously a concern I would get him to take a few online anxiety test. If he can answer them honestly while it's not a diagnose it would be something you could print to bring to a GP. I found most of the anxiety/ panic test ect online to be pretty accurate suggestions in my case.

Also want to point out you mention he is afraid to go see a pysch due to a possible diagnosis so he is aware something is off but doesn't want a label placed on what it could be. I used to suffer bad agoraphobia is not really a big big issue anymore still affects my life somewhat in certain areas. Some of the examples you mentioned just reminded of the agoraphobic behaviours I developed starting with little things like being vigilant in malls, than progressed I am not saying he has that. Whatever if anything should be checked. If he is suffering with something best to try nip it in the butt getting help with anything at all in life. Is always best to do so earlier than later..