I was just testing this out with this account. I made a sub register user group and assigned this account to it. I am able to add and delete, but as you indicated not edit. And you pointed out the publishing issue on the other thread. It may take me some time to get it sorted out as I am nearing the end of a college semester and have exams to prepare for, however, in December I should have much time to fix it.
Thanks for pointing the issues out. They are on my to do list!
The administrator has disabled public write access.