The first spin cycle probably does not work all that well either but you don't notice that since the machine then goes on to the rinse cycle.

This sounds like a clutch problem, and it is a repair an inexperienced person can do, just take your time and it helps to have a helper.

Take a look at the STicky by Richappy on Direct Drive brakes for text info, and then go to the video section found at the top of this page and you will find a video on how to replace the clutch lining.