Plot hole: Cole explains that the demonic power is driving Karen mad because she is human. Cole later has Paige infected with one to drive her mad. This doesn't make sense since Paige is doubly not human, and shouldn't be driven mad. In fact the Charmed Ones have had demonic powers before and were not driven mad, but instead turned evil.
Suggested correction: They all are human, just not mortals.
Size Matters - S4-E5
Continuity mistake: Shortly after Phoebe frees the blonde girl from the clay, she tells her to run "before Gammill sees [them]." But Phoebe hadn't learned the demon's name at any point. Leo and Piper do find out his name, but not until later. (00:20:00)
Suggested correction: Gamill and Finn are talking when Phoebe is at the house. It may be possible that Gamill's name was mentioned by Finn in conversation.
Plot hole: Piper is initially skeptical at Phoebe's theory that the Evil Enchantress could be Paige in a past life, because Paige lacks the Enchantress' ability to summon the elements. However, Piper knows that in Phoebe's past life she had a pyrokinetic power, which she does not have in the present.
Suggested correction: This is not a correction, more of an observation that goes with this plot hole. In season 2 episode 14 'Pardon My Past' Leo explains to the sisters that Phoebe had her active powers taken away, because her past self had used them for evil, but yet the Enchantress does the same with her powers, and Paige still has active powers. It took two years for Phoebe fighting as a good witch to actually gain an active power again, and then it was only levitating. Becoming an empath took seven years. So that doesn't really make sense that Phoebe would be punished for her past self actions and Paige was not.
Possibly Paige had past lives in between the one we saw and the present one. So she could have already atoned for the evil past life in another past life.
Also Paige's active power comes from her Whitelighter side not her witch side, she doesn't have any active witch powers.
Paige's active power comes from her whitelighter heritage, so like Chris and Wyatt, she doesn't have an active witch power, so this active power has nothing to do with her Wiccan heritage and past life as the enchantress.
Plot hole: When Yen lo enters the manor in the attic. Where did the water on the floor he comes through come from? Windows were closed, no visible leak, and the sister took precautions to make sure there was no water in the house. Also after he attacks and gets the dragon blade, he exits the house through the sink filled with water. Piper had already said to make sure there was no surfaces of water in the house and had Phoebe and Paige shut the water main off.
Suggested correction: There is a previous scene that shows a visible leak in the windows and an obvious puddle of water on the floor of the attic. This is the same puddle they later enter limbo through. As for the sink, Phoebe (in Paige's body) explains that she had been soaking potion pots and forgot to drain the sink. Turning off the valve wouldn't dissipate water that is already in the sink.
Womb Raider - S4-E21
Other mistake: Piper tells Page that her doctor told her she probably wouldn't be able to conceive because of scar tissue from blunt force trauma. But Leo has healed Piper, if there was scar tissue after Leo heals, then all 3 girls should be covered in scars.
Suggested correction: They are thrown around quite a bit before even finding out Leo is a whitelighter. Also, he doesn't heal them every time they get thrown or hit in the abdomen. In fact, we usually don't see him heal them at all if they're just thrown across the room or punched in the gut, unless there's a visible wound.
Size Matters - S4-E5
Other mistake: Since when are managers, on a trial basis no less, allowed to renovate and change the name of a club?
Suggested correction: Piper says in the episode that she allowed him creative control because the club wasn't doing well, and he was well-known to be good at what he does. It's made clear throughout the episode, by way of him telling her multiple times that if she doesn't like it that he'll get rid of it, that she still has full veto power on any changes.
Continuity mistake: In the recording that Agent Jackman plays for the sisters, the end of the reversal spell is heard "bring her back to me," but when Paige and Piper said it moments earlier, they only said "bring her back." (00:17:45 - 00:19:10)
Suggested correction: They say "bring her back to me" both times.