I now have the novelty that I can see them on both the old PC in the old default wallet and the new PC in my named wallet.
Note that with having the same wallet in two different devices, you increase the risk of getting hacked.
A solution is to create a new electrum wallet with a new seed and move your coins there, as the old wallet was already used in 2 computers
However the fees are so high right now that I wouldn't recommend it.
Thr real solution is to buy a trezor ASAP, as Z-tight said just move your coins to that hardware wallet as it is much safer.
However, I would suggest that you take a look at this article before buying a trezor
https://cryptoslate.com/censorship-concerns-grow-as-trezor-integrates-coinjoin/