Not sure if this is a bug related to beta sites or if it's more extensive, but when I was going through review tasks, I got one of my own posts as a first post edit. I'm pretty sure this isn't supposed to happen.
3 Answers
This probably shouldn't happen, but it's also a very localized problem - after the private beta ends, you'll need 125 reputation on the site in order to do any reviewing, and that excludes new users for at least a little while.
Beyond that, there's nothing you can do to your post in the First Posts queue that you wouldn't be able to do elsewhere.
This is fixed now. You shouldn't get your own post in the First Posts or Late Answers review queues any more.
Pretty much everyone's posts will be in the list, as everyone is a new user.
That review queue is for 'First posts by new users' which everyone is today :-)