This is an "It Just Bugs Me" entry. This area of the wiki is more friendly to the idea of conversation in the article itself, due to the highly subjective content. The regular entry on this topic is in the main wiki.
At the end of the episode "MILF Island", it's revealed that Jack knew it was Liz all along and that he just made up all that stuff about Gilly to get her to admit it. However, she was just about to tell him the truth when he told her about Gilly and that actually made her decide not to tell him.
Throughout the series, GE and NBC are owned by the fictional Sheinhardt Wig Corporation. However, in "The Rural Juror", it's GE that owns the Sheinhardt Wig Corporation, which, in turn, owns NBC.
That's the thing: it's not that GE is owned by Sheinhardt, it's just NBC. So they'll need to get Sheinhardt out of crap on NBC, but if this were set in another department, wouldn't happen.
Heaven help you if you try to reconcile the characters' backstories. Liz aged two years, from thirty-five to thirty-seven, between the first two seasons. Jack's father left him and his mother when Jack was two, but he has loads of much younger siblings who have good memories of their dad. Tracy was thirty-four in "Ludachristmas". So he was a teenager when he did that 1980s "Werewolf Bar Mitzvah" song?
Jack's dad was kinda of a drifter; he easily could have come back for a quickie.
Did he really say it was an 1980s song? It could have been done much later as an eighties throwback campy song.
It was all-but-established early on that Jenna lies about her age; Tracy could too. So could Liz; assuming she was born in 1970 like Tina Fey, not much. But still...
He didn't say he was thirty-four in "Ludachristmas" - it was listed on a profile shown in the episode. Also, it was not Liz, but a doctor who said she was thirty-five in "Tracy Does Conan" and in the previous episode ("Jack Meets Dennis") it's mentioned that her birthday was "last week", so she couldn't have had two birthdays before "Cougars". She couldn't have even had one birthday for that matter as she says in "Secrets and Lies", the episode after "Cougars", that her birthday was "yesterday". Therefore, as of "Cougars", she should be thirty-five, no?