On my cold wallet there is a numerical code first, and then you enter your keys. Not trying to gum up the retrieval operation, just a caution that if there is one of those, one has to get that right in 3 attempts or be locked out.
Discussion
But that's different.
In OP's case, all he needs to do is have a fresh install of a new hot software wallet and just recover the old wallet using the seed phrase. Cold wallets are an overkill for this simple recovery procedure.