Starting engine

Hello, I have a 1998 Mitshbushi galant. It had a factory alarm on it that I disabbled 3 years ago. It has a Bulldog remote starter that I installed 3 years ago. Have had no problems until last month. The car will once in awhile not start either using the key or remote start. When it doesn't start it seems to not start 3 or 4 times in a row. I have installed a new starter and soilnoid. New Positive and Neg battery cables. The battery is 4 mo old. Have done a 3 load test on the battery. All were fine. I hav 12.5 volts on the battery post when cranking the engine. I have 10 volts leaving my ignition switch when the car starts and doesn't start. I have 10 volts at the starter coil when it starts. I only have 7 volts at the coil of the starter when it doesn't start. Was thinking there might be a relay, but can't find one in a electrical schematic. Thinking about running a new wire from the switch to to starter solinoid.

Any help appreciated.
Don