How do I block somebody who is emailing me through their phone?

I don't want to delete my old emails that I have because they show time stamped important dates of when my Ex, had access to my email. But I don't want him contacting me anymore so I limited his access to my profiles but he can still email me through his sms phone emaill. How do I block him from doing that. Hes destroying my life. I know he's had multiple email accounts and lots of them have sent me spam emails that Ive opened in the past. Now I went back and looked through every single old email and recent ones also, It looks like I changed my password and phone number so many times in these lasts 3 months, especially Sept. Can somebody help me? I had to delete my google account and my gmail because of him and his ex girlfriend.