Factual error: When Professor X is calling Moira McTaggart in Scotland, the phone number he uses is shown to have only dialed the exit code of 011, followed by a fictional seven-digit number with a 555 prefix. Since he is calling from the United States, he would have to dial the country code (44) and area code for the right part of Scotland. Plus UK numbers at that time had at least 9 numbers.
Factual error: The commercial airplane that Rogue is piggy-backing to Muir Island has no overhead storage bins. Just a shelf running the length of the cabin with luggage stacked on top, which is not something that the FAA or any other national aviation authority would permit.
Factual error: When Rogue is flying the dome up to the top of the mansion, she is flying at a diagonal angle and using a rope to tow the dome behind her. On its way up from the ground, the dome is also at a diagonal angle, when its mass along with the force of gravity and the slow speed at which Rogue is moving dictate that the dome should swing like a pendulum.