Note that they do not indicate Trezor as a compatible wallet but it is. Have tried restoring from Trezor and it works.
Trezor is their competitor so of course, they don't list it. I'd be surprised if they did.
If your ledger wallet is broken, just buy a new one and recover it using your 24 phrases.
That's not necessary. You can restore the wallet on any other wallet as long as they support 24 phrases. But of course, if you want to continue using Ledger then that's required.
Keep in mind that if you buy Nano S, the number of apps that you can install is really limited. Might as well go for Nano X if you want bigger storage.