Flown with Tyke on several occasions. Had to take him to the vet first though for a checkup since the airline at that time required a visit 10 days or sooner in advance...so check and see if that has to be done...
Also...bring along a candy cane or a candy stick of some kind for you to stick in the carry on that your dog will be in...they do have ear problems in airplanes much like humans do and our vet reccommended we have that and stick it in the carry on every once in a while for tyke to lick...apparently that helped with the ears a bit. He had been given a sedative but surprisingly he was more worked up when we gave him that

So we no longer give him one...as long as he's in a carry on underneath the seat but can still see our feet he's fine...we stick our hand in to pet and reassure him every once in a while...it went A-OK
--Sissa