My Kicks don't have any burning smell, but still have the rubber and plastic new smell.
Could it be coming from outside? There is usually period of burning smell from the engine bay and under new cars, from whatever factory oil might be coating the exhaust system and muffler. My car still have a bit of burning smell outside, after a long driving and parked in the garage; but not inside while driving/moving.
I have a feeling that you are picking up on some of the residue that has yet to burn off from the engine bay. Its usually only a matter of weeks however before these kinds of scents are gone completely.