First, check for any loose cables. Power off the machine, remove the cover, remove each cable connection and firmly re-attach again. Let me know how you get on...
My skills are in two areas - electronics and computers.
I have fixed and repaired countless elliptical machines, treadmills, and other sports equipment for local gyms :)
Yes, those are resistors and they are an important part of the circuit.There should be a value code on them, either markings or colored bands - you can use an ohmmeter to test them and if they are not registering the correct resistance then they should be replaced.
No, I would not have anything like that - that information would be proprietary to a Pro-Form service center.