It's fine to destroy Scatter and then create a new one again. You can choose the same or a different password it doesn't matter much at this point. So what you did was okay.
The Scatter IDs generated right now that start with "RandomRabbit" you can't edit at the moment. We're waiting for Scatter to ship the RIDL feature that will support custom Scatter IDs on the main net but it could take some more weeks/months until it's live. But it shouldn't be needed right now anyways.
Now the main issue people are having with the voting process using Scatter at the moment is that whatever Network they're connected to doesn't return the EOS account (which is different from Scatter accounts by the way in case you wondered). It's most likely because the computer (node) behind that network url is overwhelmed and can't process any more requests so it just doesn't return anything.
To work around that problem there are generally two things that were reported to help with this:
Just wait a few minutes and try again. Trying repeatedly to go back to Identities and then edit your identity and scrolling down to Account and selecting the EOS Keypair can eventually bring up your EOS account properly (i.e. the popup with "owner" and "active" permission).
Also try adding and selecting a different Network, try any of the 4 URLs I pasted above in the Troubleshooting section of this guide. I personally had success with any of these 3:
node2.liquideos.com:8888185.109.149.236:8888mainnet.eoscalgary.io:80
RE: How to vote with Scatter and eosportal.io