Almost certain sent with correct address but if I didn’t what will happen - on transaction record it shows old address used years ago
I mean, you should check it out in doge explorer too.
should I open a new wallet and let sync, which will take weeks then insert proper wallet ?
Better not, I don't think your problem has anything to do with synchronization.
If you don't mind, you can show us the doge address of your kraken wallet.