Don't worry, you can always open another account. I will now guide you on how to do that:
1. Format your PC to ensure that all cookies/history is removed. If you can't do that, create another User (if you are on Windows) and install a different Web Browser there
2. There are static and dynamic IP addresses. Fiverr can track you with your IP. If you IP is static (non-changeable) you should use a proxy when you create a new account. If your IP is dynamic (changeable when you reconnect) just reconnect your Internet and ensure that IP is changed
3. Can you use Fake Name? Yes, you don't even have to enter a name, even if you enter it, you can change it/remove it later
4. You must not use the same PayPal address. To be 100% safe and avoid linking, use a completely different PayPal. But, you can also try using different E-Mail address and the same old PayPal. I have been using 8 accounts on 1 Paypal x 8 addresses for 2 years, however, i have heard that people were tracked because of using same PayPal, no matter if it was a different email. So as i have said, to be 100% safe, just use a completely new PayPal
5. Don't post the same gigs, rewrite them first
Hope i helped you. Good luck with your new account.