Thank you for choosing Just Answer for the solution to your problem.
My name is Hank, and I am going to assist you with this.
I have found using an ohmmeter to test a cap very unreliable - lots of false readings.
The best thing is to take the cap to an electrical shop and let them test it.
The cap is by far the most likely suspect, but there is also a varistor soldered into the windings of the rotor, and they have been known to fail fairly often.
But if you are not an experienced electronics tech, I would not suggest trying to desolder it yourself.
As far as replacing the set - that is totally up to you.
This is an older set, yes, but very basic - and usually reliable.
But then again, the newer sets are much quieter and more fuel efficient.