We're sorry to hear you had troubles with transferring your key pairs to your new laptop. Transferring of key rings from one system to another can be done without issue so we need to pinpoint what caused these issues for you.
When you saved off your key pairs, did you save both the public and secret key rings from the old system?
The location of this can be viewed at the bottom area of OpenPGP Studio.
When you moved them to the new laptop, did you save them to the key ring location of the new install of OpenPGP Studio to the location that housed the key rings? Or did you just point OpenPGP Studio the the location of the transferred key rings?
Thanks - Jon