Every time TJ and Dexter venture into the backcountry, they are transported to the Coast Range of British Columbia. This includes the Powder 8 Championships. TJ's fall into a crevasse is especially unlikely given that there is no glaciated terrain in Colorado.
When the two arrive in Aspen from Detroit, they have the scenic Maroon Bells behind them. The road behind them doesn't go to Detroit, it continues for about a mile and ends at the Maroon Bells Wilderness. They would have been looking at a bunch of trees. Also, the road has a bunch of snow on it but in the next scene, where they show Ajax, there's no snow on the road.
Dex and TJ are discussing the time they went to Mackinack Island and Dex complains that TJ got the beautiful girl and he got to sleep in the car. Both actors mispronounced Mackinack as mack-i-nack, when it is actually pronounced mack-i-naw. There is also no way Dex slept in the car - motorized vehicles are not allowed on the island.
T.J. and Dex's entry numbers at the beginning of the Aspen Ski Instructor hiring clinic start out as 31 (T.J.) and 32 (Dex), then change to 36 (T.J.) and 38 (Dex) as they begin to perform aerials on the moguls, then change back to 31 and 32 as they finish.