R-C (Run-Common) winding normally has the lowest resistance, 3-4 times lower than C-S (Common - Start ) and the remaining R-S (Run - Start) resistance is the sum of the other two.Â
In other words, quite a big difference in numbers is to be expected. In fact, the values he has measured are almost perfectly matching the winding resistance values listed by Copeland (manufacturer of compressors for Payne) for single phase 208/230V models for <strong>3-ton</strong> (or, rather 38,000BTUs) compressors. The 5-ton (50,000BTUs+) compressors would have the R-C measured around 0.4Ohm or lower.
This difference may not necessarily mean an issue with the compressor because the resistance measurements of such low values are not always precise and depend on several factors, including even how fresh was the battery is in his Ohmmeter. Also, to be absolutely sure, the compressor needs to be disconnected from all external connections to its terminal block.
All that said, has replacement of the capacitor fixed the problem? I could not grasp from the question what state of (dis)repair the compressor was left in...