I haven't played it yet myself since I'm waiting for it to be completed, but from what I know after seeing a lot of spoilers since I love spoiler: The Game acts like A New Game Plus in a way. The items you buy in the shop (Both Arcade Mode & The Christmas Special) you get to keep it for Future Playthroughs. Consumables need to be bought again if you use them like the Spray. As for the Maze, if your data is not recognized, I'm afraid you have to do it again since that sounds like it that playthrough save got corrupted.