When Sue goes to meet Jack as he's jogging in the park, Jack is not wearing gloves through most of the scene. As they turn to leave, he pats her on the back with a bare hand, but when the shot reverses, he's suddenly patting her back with a gloved hand. The gloves remain in his hands for the rest of the scene.
At the end of the episode, when Milton brings a bag of dog food into the bullpen, if it were full, Milton would not be carrying it so easily, nor would Lucy be able to take it from him with two hands near the top of the bag.