Pilot (aka Emotions in Motion) - S1-E1
Visible crew/equipment: In the scene outside of the Rialto, where Dawson is scolding Joey for being rude to Jen, Joey's shirt is falling off one shoulder. She shrugs to fix it, and her shirt lifts in the back, exposing her mic. (00:31:50)
Pilot (aka Emotions in Motion) - S1-E1
Visible crew/equipment: It's morning at Jen's and Grams'. Jen is seated at the kitchen table downstage/far left. Grams is upstage/right at the stove scrambling eggs. Grams crosses downstage to put the eggs in front of Jen and the mic overhead upstage/right peeks out just a tiny bit. Grams crosses back to the stove. Suddenly the microphone - including the rod the mic is on - just drops down almost completely into the frame over Grams' head and is not pulled back up.
Kiss (aka A Prelude to a Kiss) - S1-E3
Visible crew/equipment: When Joey, Bessie, and Bodie are at the seaside restaurant talking about how large Bessie looks (during her pregnancy), you can see a boom microphone dipping in and out of the picture above Bessie's head. (00:07:40)
Baby (aka Look Who's Talking) - S1-E6
Visible crew/equipment: When Pacey is telling Tamara they should go out together there is grass on the camera lens, in the bottom center, in each shot of Pacey. (00:05:05)
Answer: It's the same apartment Joey had in NYC. Comparing it to the beginning of the Finale; you can tell it's exactly the same location, furnishings, Plasma TV etc. Apparently Chris was only living with her at HER apartment, and now Pacey has taken his place at the end. I guess this implies Pacey successfully started his own restaurant business in NYC as he had dreamed, to be with Joey.