Mail app won't save Gmail settings in OS X Mavericks

Ever since I upgraded to Mavericks, the Mail app won't let me permanently save my settings with two gmail accounts. I uncheck the box in "store draft messages on server" under mailbox behaviours in Preferences and then save. When I look, that box is checked again. I've done this over a million times now.

I don't want that option because I get 100s of draft portions of one email while writing it and it shows up in On My Mac. Sometimes, for no apparent reason the email shows up in "Draft" even though I had already sent it which is very confusing. I have been trying to figure this out since yesterday and I have removed and then added the gmail accounts (2 of them), did reboots, etc. Nothing works. I don't know where else to look.

I have been having all sorts of problems with the Mail app (Gmail accounts being sent from the wrong account out of the blue) ever since I bought my MacBook Pro in Feb/13. I was hoping that these issues would be resolved with the upgrade to Mavericks and would work properly. NOT. It's been so frustrating. I really like the UI of the Mail app and would like to continue using it so I was wondering if I could delete the Mail app and then re-install it? Can I do something in Terminal?