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Rapid breathing can often be caused by some kind of stress. You should evaluate the situation and see if there are any new stresses.
Obstructions of the nose, tracheal problems and laryngeal problems can also cause increased (or seem to cause) increased respiration.
If your dog is not on heartworm prevention, he might be showing clinical signs of heartworm disease or other heart problem.
The nose is not an indicator of health. It can be warm, cold, wet or dry and it means little. If you want to check to see if he has a fever, just use a rectal thermometer and some petroleum jelly. Normal resting temp for a dog is 101-102.5.
If it continues, you need to see your vet as soon as you can.
Let me know if you still have questions.