Doug's Shock Therapy / Doug Is Hamburger Boy - S3-E11
Plot hole: Doug recalls previous years (in a flashback, where he was next to Skeeter at the window of the Honker Burger as they looked outside) of seeing the Hamburger Boy when Mr. Dink is confessing that he *was* Hamburger Boy. However, Doug has only been living in Bluffington for one year - this was his first summer there.
The Crab with the Golden Claws: Part 1 - S1-E1
Plot hole: The torn off part of the Crabe Extra wrapper that Tintin discovers from the drowning victim appears completely fine, despite the fact that in the previous scene, Daws, the drowning victim, had scrunched up the wrapper and put in his pocket and was then thrown into the river, whilst the wrapper was still in his pocket. (00:02:10 - 00:03:40)
Plot hole: Tim has the mike in his hand and steps repeatedly forwards to talk to Jill, the cord being long enough to allow him to do so. However once Jill leaves and he wants to go after her the mike knocks over the jar of mosquitoes. Up until then, there was no indication that the mike had been changed or moved but he never at the risk of knocking over the jar until then.