Phoebe says very clearly that warlocks don't bleed, but in the first episode "Something Wicca This Way Comes", Jeremy was bleeding pretty profusely after the failed vanquish. As well as Brendan Rowe's warlock brother bled when he was stabbed in Season 1 Episode 18, "When Bad Warlocks Turn Good". And also Malcolm was bleeding in Season 2 Episode 3 "The Painted World".
Prue claims to have kept the warlock-killing dagger last seen in the season one episode "When bad Warlocks go good" yet, in that episode the dagger can be seen to fade away at the same time the warlock bodies disappear.
When Phoebe dismounts and remounts Eric, he is parallel with the kitchen door (like he could stand right up and walk through it). When Prue and Piper walk past, he is lying diagonally between the table and counter.
The object in the museum is believed to be a map to the location of the "Akashic Record". That would be odd, because the "Akashic Record" is a meta-physical 'record' not a 'physical object' that could be hidden, much less found.
They broke the artifact with the map to prevent anyone else reading it and go looking for the archives but such an object would have been copied and studied extensively so in fact it changes nothing. Copies can also be studied.
When Eric and Phoebe are talking about their parents, Phoebe tells him that her mother died and that she never met her father. But she met their father in the beginning of the Season 01. Although, she speaks as he has left and they never had contact with him.