Factual error: The General wants to do his interview by the TV so he can watch March Madness at the same time. When the interview is about to begin, it shows a Kentucky game being played on Kentucky's home court. Teams cannot play on their own court during the NCAA Tournament.
Factual error: Most of what Will says about the Challenger's O-rings is wrong. First of all, he says they are meant to keep hydrogen from leaking out of the SRB. SRB stands for Solid Rocket Booster, meaning they use solid fuel, not hydrogen. The hydrogen was in the external fuel tank. Second, the O-rings were tested for cold, and NASA engineers recommended against launching that day, with one of them even refusing to sign off on the paperwork if the launch was to go forward. NASA overruled them and went ahead with the launch anyway, with all the disastrous consequences that ensued.