Hi AustGarageSales,
It's unfortunate what eBay did with your primary account but I think once you start selling by using your secondary/other account, eBay will notice this and may suspend your other account as well. eBay has been known to have the ability to scrutinize user accounts - so using another account usually would not solve the problem at hand.
I think you'll find what Erika had to say to another member who also had his eBay account suspended helpful, please check it out -
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You might also consider selling through other sites while you wait out your suspension before you know it one whole month will be over!
Hope this helps - All the best!