There really isn't a good glue for that, PL 200 or PL300 will work, but any adhesive makes it almost impossible to ever remove a mirror cleanly without messing up the wall. - MUCH better to use screw in 'mirror clips' available in any hardware store.
Use a good epoxy .
A good glue you can use for soft plastic which is a flexible material is Gorilla Glue.
RE GLUE ITANS 2 - Get 'Loctite Auto Mirror Adhesive' from any good auto parts store.
In my experience they are. They all have to be D.O.T. certified. The only difference that I have noticed is that sometimes you will have to glue your own rear view mirror mount onto the new windshield. Hope this helps you.
There is a suitable glue for every material. I have over 30 kinds in my glue cupboard. Very few are are good for everything.
It is not a good idea to use glue or tape to mount a coin. The best way to store coins is in airtight containers.
Good luck trying to remove that mount button without breaking the glass. Better off purchasing another mounting button and glue it above or below the original one.
I would use a good epoxy.
Yes, it would be good for that.
Hot water or a scraper. (knife like) Good Luck!
To fix a rear view mirror; you need to go to an autoparts store and pick up some rear view mirror glue and follow the directions on the package. If done right it will be as good as new.
Not a good idea if you expect it to hold any pressure. This is very slippery material (i hate to work with it) and hard to glue properly at all.