ronnied,
This is a problem with the soft starter for sure. The old EA series had a potential problem with one of the ICs (thick film actually) failing intermittantly, probably from static, moisture or some other external influence. It controls the firing pattern of the SCRs so when it gets corrupted, the SCRs fire randomly causing that severe "cogging" effect because you are putting DC pulses on the motor winding. It is an analog circuit, so when the condition goes away, it works normally again. You will NOT likely find anyone left at Cutler-Hammer that knows this, they were all let go when they closed the plant in Oldsmar Florida. They stopped supporting that product a few years ago, there are no parts available as far as I have heard.
Here is what you can try:
1) Make sure that internal condensation is not occurring inside your starter. Keep a stip heater powered up inside of it, especially when not in use. It does not have to get extremely cold, just 40F for moisture to form on the warm surfaces. Since you say that it is portable, this may be problematic. You can also try adding Corrosion Inhibitors like those available from Hoffman (and others). They work OK when power isn't availble, just not as well as a strip heater.
2) Keep it clean and dust free so as to help prevent static discharges on the PC board. Use an electronic spray cleaner, or WD-40 if nothing else is available.
3) Have the board refurbished by a 3rd party, i.e. Electrical South. Not cheap, but probably the only ones left with drawings and experience to do it.
4) Buy a new soft starter and chuck that old EA.
"Venditori de oleum-vipera non vigere excordis populi"