To my knowledge, you can:
See the list of all your apps downloaded: Open AppStore then tap on top-right your profile photo/symbol, then tap on purchased (you can see all of them, or only those that are not on you iphone).
See the same list (but with the date of purchase) using a computer running iTunes and signing in with your account.
I don't think you can see if and when they were re-installed anywhere.
Regards
Giulio