First make sure you have a good fully charged battery are all your in car test will be meaningless.
Then do a voltage drop test.( what "the converted" said to do. )
the converted wrote:Double check your engine to chassis and chassis to battery grounds. You can also measure the voltage between the block itself and the positive terminal of the alternator when it is running and compare that to what you are seeing at the battery.
Like DryskalM3S13 said, most reman generators suck from autozone, pep boys, etc... I would go with a factory one.