Plot hole: Throughout the series, auxiliary characters are always far too willing to give all kinds of information to Tru. Doctors and registrars constantly give her privileged information about patients and students. Tru is often able to retrieve information like addresses and phone numbers from people's service and utility companies, when normally you must verify your own information before they will even talk to you about your account. Of course there can't be an episode if Tru doesn't quickly find the person who asked for her help, even though she doesn't usually know much more than their name, but it's still a bit conspicuous.
Plot hole: Gaeta and Tigh both reference the fact that the Galactica crew computes the changes in stellar drift for FTL jumps and then sends out the info to the rest of the fleet for their use. However, when they fail to rendezvous with the fleet after the emergency jump, Gaeta realizes a mistake has been made and says that Galactica's info is out of date. This creates a major plot hole because if Galactica sends out the new info to the fleet, Galactica would always have the most up to date info for FTL jumps. The crew would be able to solve the lost fleet crisis by simply reloading the last coordinates that Galactica sent out and jumping there where the fleet would be waiting for them. There would be no need to go back to the previous coordinates and recompute the jump.
Worlds Collide: Part 3 - S3-E6
Plot hole: In their previous encounters with the Triceratons, the Turtles had to learn the hard way that the Triceratons breathe not oxygen but a combination of nitrogen and sulfur, which is detrimental to most Earth lifeforms, and thus had to wear special rebreathers. When the Turtles, Splinter, April and Casey enter Zanramon's throne room along with Traximus, none of them wear any breathing equipment to protect themselves from the hostile atmosphere.
Plot hole: Tori somehow knows who Marah and Kapri are, despite never meeting them before.