If you use something like Chrome then register a GMail account if you don't have one, log into it from that Chrome browser and it will save your booksmarks.
You can do similar with IE & Edge, and I assume with Firefox.
You can also export your bookmarks to a file and put it on a USB stick or email it to yourself.
Once you've done that, I'd take AVG off and see what happens. Viruses are unlikely if you have Defender switched on and are even less of an issue if you don't care about your data.
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