The Raccoon - S1-E10
Plot hole: The plot gets confusing here. First, Laura and Jack (the dog) are rabidly bitten by Jasper (her pet racoon). The doctor warns they may have rabies from the bite. A second more dangerous raccoon is discovered which eventually left the area. In the end, Charles (discovering there were two raccoons in the barn after finding Jasper remaining), says Laura is going to be OK after all. The main confusion is that Laura would still be in danger from the bite regardless of which untested raccoon bit her.
The Countess - S1-E4
Plot hole: Rockford and Carl Brego are punching and kicking each other on the beach. Someone shoots him down with a rifle. The INSTANT Rockford goes to check out if he's still breathing, two people randomly happen to walk on him popping over from behind a rock as they were having a super casual and amused chat, but see Rockford by the shirtless brute and make a horrified face. Later in the episode the two identify Rockford and say that it looked like the two were fighting. Their facial expressions at the time don't make sense as depicted. Even if we assume that they did not see anything at all and they played it up/filled the blanks in their mind later, the two are not deaf and yet they were not perturbed or curious in the slightest after the loud bang of a gunshot. The way the scene was shot, the only thing tipping them off about anything was seeing Rockford over the corpse (which had barely a small dot of blood visible at the time and would hardly tip anyone off at first sight). (00:18:45)