When Tilly and Lyle go to the grocery store Lyle is open carrying his gun: NY is not an open carry state.
One of the escapees tells his mate about DNA they could leave behind them. That's useless to say this because all the police forces are already after them, knowing their identities. However, this is smart on the part of the escapee, because authorities had no idea where they were, or even which direction they were headed. Having DNA evidence that they were at that cabin, and that it wasn't just some random break-in, would be hugely important in locating them.
During the three weeks after their escape, the convicts' beards never grow.
When the Inspector General, played by Bonnie Hunt, visits a gym in Watertown, the name on the building's exterior is Hudson Valley Gym. Watertown is not a part of the Hudson Valley, named for a region of the state along the Hudson River from Albany to Westchester County.