I started Electrum and set up with private keys (did not set up a new wallet on Electrum. So I guess this WAS a sweep.)
Importing a private key is not considered sweeping.
And was able to send that balance off to my Ledger.
That's sweeping

Should I wait with doing the next bitcoin adddress until Electrum has confirmed the transactions, the send of the bitcoin out of the wallet before I close it and do the next?
It doesn't matter, but it doesn't hurt to wait either. After so many weeks, being thorough is good

When I do the next address. Should I delete Electrum and reinstall Electrum each time (to avoid the same problem that I had with BitcoinCore).
No, you can just create a New wallet each time.