1. Yes, submissions need to be easily deleted on the assign/view.php?id=XX&action=grading page by checking the box and selecting a "delete" option in the dropdown menu "With selected..."
I did vote on the MDL-37237 tracker ticket. Please vote to support this much needed change.
2. I set the permission for the capacity "assign:editothersubmission" to yes but it doesn't really work.
- for some reason, the "edit" choice in the dropdown menu doesn't appear all the time (screenshots attached)
- even when it appears, it doesn't allow to delete a submission, but merely to erase the content of the submission.