First, that such an old computer was able to go into the internet at all.
My old iMac (which I keep, too, because of an old program I need from time to time) can't get access to the web for a decade now, way too old tech and too much data on modern websites.

Second, no backups in decades??
No automatic backup like time machine or such?
Not a single manual weekly backup? Or monthly?
No cloud, neither?

Third, your pics are online on some pic hoster, and then they still should be there – aren't they?
So you can download them again.

Fourth, do you delete your photos from the hard drive after uploading them?
If so - why?

Good luck with the repair.