Warning: Looked-for uploads zip (0) was not found
On that one, please update to the latest UD version and see if it still happens. I think it is because you have zero files in your uploads folder (only directories)... if memory serves me rightly, we found that one of the three zip engines produced this warning in this situation, and I think we fixed it.
Do you have feedback for our problem with the restore?
On this, I don't have anything to add to my earlier comment:
The reason why it disappears until after you do a restore after you press 'rescan' is because after you restore, you are restoring to the point in time before the backup was complete; at which point there was not yet a database in the backup set. The restore restores everything in your database - which includes UpdraftPlus's records too.
Probably I should get UD to do an automatic rescan after a restore, but I need to think through the consequences of that.