Just wondering how to get rid of the entries in “my drafts”, they were mistakes that I did not send for one reason or another.

You should be able to click on the little sprocket logo and click delete.  If that doesn’t work just delete any text in the draft and then save it as a draft again, that might work. 

Edit:

Looks like the only way to get rid of them is to delete the text, post it, then go back and delete the comment. 

Just click on the tiny cross in the top right hand corner (you may only be able to see the cross when you move the mouse cursor over the text).

Dang, that was easy. Thanks, @Sloth