u/WhiteTrashHoneymoon

Hey I’m sure this has been covered before but I’m pretty new to DRs. I was cleaning my chain today and noticed how loose my chain is. I also noticed my rear sprocket has some play to it and I’m assuming that’s not good. Both videos were taken with the center stand down and the back wheel off the ground. My bike has 13k miles on it and I’m guessing these items haven’t been replaced before. I bought the bike used at 5k miles