Plot hole: Caroline helps Max get her degree, since Max didn't graduate high school. However, in episode 5 of season 1, Caroline and Max are raising money to pay off Max's student loans.
And the Rich People Problems - S1-E4
Continuity mistake: When the girls are at Caroline's house, she tells Max about how she was raised by two women, Estella from '89 to '96 and then Dominica from '97 until she went back to Guatemala. In season 3 she goes to Antonia's memorial and it is pretty emotional because she is supposed to be the nanny who raised her when she was a kid.
Character mistake: Winona says that Jason killed a penguin on their trip to the Arctic. This is impossible because penguins only live in the southern hemisphere.
Factual error: Caroline says to Max, "You've had rabies once," implying that she was infected with rabies and recovered. Rabies, once you get infected, is lethal and untreatable. (00:00:10 - 00:10:15)
Suggested correction: Rabies is curable if you are infected, as long as you don't show symptoms. You can get treatment - the sooner, the better. Also, the further away the wound that infected you is from your brain, the longer time you have until symptoms show.
Continuity mistake: In the theatre, there are 3 'nerds' that are sitting behind Max and Caroline who swap to a solo guy, then when Max and Caroline leave the theatre, swaps back to the original three. Once Hans leaves, someone is already sat in his seat and the woman next to him isn't the same one.
Factual error: The girls are invited to the Grammy Award ceremony and fly private in a Bombardier G5. There are 3 passengers, one flight attendant, and one pilot (Captain). There is no first officer. It's illegal to operate the Bombardier G5 with a single pilot.
And the Reality Check - S1-E11
Continuity mistake: When Earl is leaving he places bag over shoulder with opening flap 'Inward'. Camera changes and shows him exiting door with opening flap 'outward'. (bag is flipped over). (00:01:41)
Continuity mistake: In the bar scene. Caroline is holding green beer. In one shot it's half empty. In the next shot it's full. And back to half empty. And it's full for the reminder of the scene.
And the Rich People Problems - S1-E4
Revealing mistake: When Caroline's dad "calls her" when Caroline puts the phone to her left ear the phone is on the home screen, compared to the screen you should get if there was a call.
And the Great Unwashed - S4-E13
Continuity mistake: After Caroline gives the "extra croutons" lady (Nola) the salad, she starts talking to her and as shots change the salad changes as they go back to Nola and changes again after. (00:04:33)
And the Zero Tolerance - S4-E16
Continuity mistake: At the start of the episode when Oleg is showing the drone his penis he has his shirt up but in the previous shot his shirt was down. (00:02:00)
And Not-So-Sweet Charity - S2-E18
Continuity mistake: In this episode, Chef Nicolas visits the diner and greets Max as if they know each other, and even teases her about giving her a low grade for her flan. But this is just season 2, and Max doesn't go to pastry school until season 3. (03:05:00)
Suggested correction: This does not happen in the episode mentioned in this post. They joke about her low-grade flan in season 3, episode 18 - time stamp 03:03.