Sounds like you're facing sanctions for 'your' past violations with EA; rather than sanctions on a new SWGOH 'account'. To put it another way, they've banned you and any accounts you make (my uneducated guess anyway).
b902db36bebfadd0 wrote:I create a new email address and account, and before I can even start playing, I'm locked out of EA Connect.
This suggest there's more going on here than you're letting on. I think you're only course of action is to go through 'EA Help'. However, as you said, it's not the best of experiences.