When Vivian is reading the text message "How's it going?" at the end of the episode, the time stamp on the message is Today at 12:38pm and when she replies, it changes to Today at 10:04am (also the same as the time stamp on the phone of the birdwatcher at the beginning).
Palmer claimed that Parker had been "trying to clone Katie's pomato plant". That is not possible. A pomato is a tomato plant grafted onto a potato plant, to produce a shoot that produces tomatoes and roots that produce potatoes.. The two parts remain genetically distinct. Cloning cells or tissue from one part would only produce a plant of that part.
At Ressler's house, it doesn't make sense for the agents (McGee, Torres and Knight) to stand around garage doing nothing (other than watch Palmer examine the body), while Palmer, the senior agent, processes the house on his own. It was clearly just a plot device to let them talk about him.