I agree solenoid more likely the issue - has significant failure rate over the relay
You can actually test if relay by just swapping one of the 4 pins in temporarily (e.g. fan relay) lights won't work but starter circuit should; if same problem you know is the solenoid
Stated earlier in thread but to reiterate I don't endorse the high current starter
@Kevin frazier - its the turn signal relay the Touring doesn't have - you already essentially covered that, just got your wires crossed haha no pun intended ....... or was it?