Support

First, please upgrade to the latest release, 3.3.6. You are already 9 versions behind :)

Then, the permissions have nothing to do with the problem you're experiencing. You're running out of free disk space on your account. Try deleting some of the older backup archives and/or the contents of the tmp and cache directories.

With 3.3.6 the automatic update notification emails have been removed from Akeeba Backup Core and now made available only to Akeeba Backup Professional. You wouldn't believe how many people would email me asking to be "removed from the mailing list", threatening me with absurd amounts of money because "I hacked their sites" and other stupid things like that. One of them was mighty funny! The guy had forwarded the email he received from his own email address and mail server to every spam blacklisting service he could find and also forwarded me a copy with a note in the lines of "ha ha, you bloody spammer, look at the email header you sent me, now you're blocked". I had to very politely tell him that he's being a complete douchebag because the email headers clearly showed that the email came from his own mail server, his own email address, from a plugin running on his site, one that he chose to enable. Anyway, I was receiving quite a few such emails every other day.

The thing is, most people are allergic to reading and thinking. I mean, yeah, if they bothered looking at the "From" field, it's their own email address. The documentation explains how this feature works. The email itself explains how this feature works. One of those guys forwarded me the email which told him what to do (disable the plugin) asking me to remove him from the mailing list! WTF?! And people are apparently oblivious to this wonderful novelty... Google search. So, I said "screw this" and removed this feature.

The same thing happened with System Restore Points. You can "thank" the very vocal minority of imbeciles who'd rather bitch than read (let alone paying for support) for the removal of those features.