I'm using the suggested emulator (snes9x 1.63), The level itself was broken to have me not go below the top half of the level, and I was able to run on the top half of it to get to a starman block with some special coins to get me out of the original problem but, once I made it to the checkpoint before the quicksand section, I died, sent me to a new checkpoint I haven't been too yet, then I made it to the spot shown in the screenshot by using the cape feather to get the key to the exit pipe.