I think you have a good plan. You are probably aware that the Dolomites have unusual scenery for the Alps, so I think it does combine well with a trip into the more typical mountains. In my limited experience Switzerland (around Wengen) has the best typical Alpine scenery but that's quite a transfer from the Dolomites unless you like a train journey ... so I think Austria is a good choice and have had a good time staying in Kitzbuhel personally. (In summer I would ensure you stay in a nice traditional town rather than a purpose built resort.)

Salzburg is within easy reach for a bit of a break from the mountains; I wouldn't go all the way to Vienna for choice. And as has been suggested, I don't think INN has summer flights to PAR but SZG does. If you start and finish in SZG (or MUC) you can drive the Grossglockner one way to the Dolomites and return further west towards INN. Make sure your rental car is allowed into Italy - was a few years ago but I've seen restrictions!

Why? CPH is indeed a very popular destination for its food.