When I select several videos and hit the mark as played button, no change occurs. The videos continue to be marked as unplayed.
This happens in tablet mode.
In contrast, when I use Plex Media Player in desktop mode, then I get a confirmation dialogue and can finally mark videos as played.
Also, desktop mode seems to better than the Web player at selecting multiple items inside of a collection. I was having trouble using Shift click to select multiple videos in Web player.