Thank you! I checked with various malware plugins and could not find anything peculiar. But one plugin came up with all the deleted plugins and sorted them into a “read/write errors” list.
Seems I have to wait until I get access to my ftp again. I hope I can find the problem.
Thank you for the response and help. Sadly it did not do the trick. I did exactly what you proposed and still face the same problem. I think the resource limits should not be the problem, but I will tell my host.