Disclaimer - I use neither Irfanview nor AVG, so you're really in great hands

let's hope some of this solves the annoyannces for you.
Your first alert is about Irfanview trying to run Epson printer driver. If that's a printer you have installed (or such driver exists), allow it. Or in Program control give trusted rights for that driver (2-3 green bars?).
ZAPro watches one program trying to start another or run DLLs and other such things to protect OS, and this is an example. If you trust i_view32.exe main application, I would tell ZA in the program control to trust it. If you could set i_view32.exe to "?" the alert should give you an option to remember the setting. Shut off Smart Advisor so you can be in control what you want done. I think all my rambling boils down to - if you trust it, set it so up front.
Sure is a lot of entries for AVG! If some are duplicates, remove them after checking properties or looking at the bottom of the screen to see what .exe runs. You have one line with red x, perhaps that one is causing the alert, that's the one near the top. Then something at the bottom might be the updater launch? If it is, unblocking it might eliminate the alerts.
Does AVG AS normally rewrite the hosts file? Check the date, check the contents. I would think they'd monitor changes there.
While you're at it, is internet access really needed to control center and basic interface? As I said, I don't know AVG but it seems to me these should be totally local and trusted zone only unless they must go out of course. Your decision which you can base on the alerts if you put "?" there.
I'm not familiar with Irfanview. It has few links on the site which aren't theirs, so it might be something AS is blocking. I blocked it and the site seems to work. There are links to
www at gismo dot at
www at domainunion dot de
Might be harmless. Might be spyware.
It could be that AS is trying to edit the hosts file to suppress third-party links.
Or it could be as simple as them trying to read the file, i.e. open it, which ZA-Pro OS control interprets as a possible attempt at modification.
Look in some sections of ZAPro (I don't recall where it is) - you're likely protecting the hosts file. If not, make sure it's protected from changes. Then go over to AVG forum and try to find out whether they rewrite the hosts file or just check it for illegal changes during the AS scan or updates.
Regarding what to alert - Off the bat it's the same list I'm used to, so I guess it's ok.