IPhone – unwanted notification from email address

I see that your iPhone is jailbroken. There's a tweak for this called noOTA badge. I haven't used it myself, but it looks legit. Give it a shot!

I assume you mean that this happens when using iMessage? (SMS messages sent with a blue background instead of green.) Check your sender ID under Settings: Messages: Sender ID. Change it from your email address to your phone number, or turn off the iMessage service completely.