When Eddie is at the gas station and finds out that Judy has been fired, the customer behind him has a cell phone in his right hand, but when the camera angle switches from outside to inside looking out, the cell phone is no longer in his hand.
At Michelle's Donut House, Eddie does a Google search for "Judy gas station Melrose", but the gas station Judy worked at is on York Blvd, between Figueroa St and Mt Angelus Dr. This is in the Highland Park neighborhood of LA, about 30 minutes away from Melrose, and a very noticeably different neighborhood from Melrose.
Some of the guests at the wedding are not likely to have been invited. For example, Hercules hated Eddie and fired Judy, but he was there. Louise (Eddie's former boss) and Marvin (the homeless guy) are also unlikely to have been invited.
Eddie's mom leaves a message for Eddie at around 3:30 in the afternoon (CA time) saying she's coming to LA, packs and leaves her home in Queens to fly to LA, which is at least a 5 1/2 hour flight if non-stop. Add another 2 hours for her to pack, get to the airport, buy tickets, wait for her flight, and get off the plane after landing in LA, and another hour for her to get a cab from the airport to the studio, and it is around midnight. Her and her elderly friend somehow get past security, into the building where the show is being taped, past all security in that building and onto the show's stage while they are taping. Not only does the timeline not work, but it's just silly to pretend any of that is realistic.
When Eddie and Judy are at the soda machine in front of the "99 Cent Only" store and Judy says, "They were blocking the pump. Hercules was just going nuts.", her it is obvious even from the side angle that her mouth movement did not match those words.