I've removed the 'New Page' button from your blog editor. You'll have to clear out your browser cache and reload the page to get the update. I apologize for the poor design decision (or lack thereof) that resulted in that button being right next to the 'Publish' button.
Which screen? The editor itself doesn't have a delete button. The saved entries screen has a delete button next to the edit button. Is that the screen you're referring to?