How can I go about recovering an old email account that I haven't had access to in over ten years?

I made a hotmail account when I was in high school and haven't accessed it in many years. I forgot the password, but didn't worry about it too much because I had another I used more often. Fastforward to today, I found a box filled with older computer games, some of them expansion packs/dlc. The problem is that the games product codes seem to be registered with another account that used another email. I tried speaking with EA support, but there's nothing they can do unless I can access my old Origin (EA) account. I tried going through a recovery request, but I didn't have enough information. I can't remember old passwords, or who I last contacted using that email. Is there anything I can do, or will I just have to accept the situation and move on?