When Mark shows up to the dinner party he tells Kate that he got her address from her application. However she got the job when they were living in another place and had moved since then so her current address would not be on the application.
However, it's unknown when exactly she filed her application. She said last episode she found a job, but very same day they decided to move. So she could have filed it after moving.
When Randall meets with the councilman in his office he walks in wearing his glasses and sits down at his desk. His glasses are still on before he gets a phone call, but when the camera cuts to the councilman and back to Randall, he has to put his glasses on when he receives a phone call.
Uncle Nicky's trailer is located in Bradford, Pennsylvania, where Cassie lives, too. At the hockey game, the announcer recognizes honors "Bradford County's Heroes of the Game." Bradford, PA is not in Bradford County, but McKean County, more than 100 miles to the west of Bradford County.