No, your e-mailbox is not overflowing and you don't have to upgrade
Just a reminder. If you get a message, perhaps seeming to come from UCLA, saying your e-mailbox is overflowing and you need to upgrade (or similar messages), just delete and ignore them. They are scams. Clicking on links in such emails or providing info such as your password to the sender will result in really bad things happening. Yours truly gets such messages on a regular basis. They often have poor grammar or spelling, suggesting a foreign source. But ignore them regardless of spelling or grammar.