[shorod]

If the starter relay/solenoid is clicking a few times, that would indicate low voltage to the relay and/or solenoid. If the starter were engaging, just not able to turn the engine over, you'd probably only hear one click, the battery cable would get warm, and if the key were left in the start position long enough, you'd start seeing smoke.

Sounds like you should focus on making sure all connections are clean and tight, the battery cables are OEM style molded cables, not the bolt-on temporary ends, then look into the relay and ignition switch (not key cylinder switch, but the ignition switch module).

-Rod