Hi there, I'm really sorry to hear about how difficult it's been to get back into your EA account.
Since you’ve already confirmed that your email is accessible, it's not full, and not blocking EA messages, the next step would be to contact EA Support directly so they can verify your account and help update or troubleshoot the email settings.
If the live chat is not working as expected, I recommend trying again through the EA Help site but selecting “I can’t log in” → “I need help with my EA account” to reach an advisor.
https://help.ea.com/en/
I hope this helps.