I'm getting Emails that are being sent to me by me, which of course I did not send to my self..?

If you get email from yourself it usually means a friend of your has a infected computer.Here's why malware gets on a computer and sends spam emails or email that if clicked on will send someone to a site that will try to infect a computer.Since malware is made not to be found,a trick it uses is to spoof one of the email address on the computer.If the malware used the email address of the computer users who is infected then it would be easier to find.It spoofs your email address and then sends emails to everyone on the infected computers contact list.Including the email it's spoofing.

you can usually block users individually from sending you E-mail but as you said it is your name sending them I suggest changing your password and seeing if that doesn't correct the problem.

Hope this helps :)

Change your password and if possible enable two-factor verification.