I have never had any luck with seafoam, which is basically just mineral spirits. Yes, set idle speed correctly, then ajjust mixture, then readjust idle speed. repeat a few times, then set mixture about 1/8 turn richer for stability.
You need an RC box, throttle and shift cables, the SRC kit, and the hook plate and drag link. No real kits. I would suggest you get help from an outboard guy.
Yeah, there's a lot of trash in the carb. set the rubber bits aside and ultrasound overnight. flush the fuel pump too. After the soak, I usually blow out all passages with generic carb spray.
How did they adjust the pilot screw when it has an EPA plug blocking access? It's a violation of federal law to take that out. If you can't idle down low enough, that really sounds like some varnishing in the low speed circuit. Do you run the carb dry at the end of each day, unless you are...
The issue with intermittent electrical items is that you can't measure the failure unless they are failing at that moment. I have never seen a failed ignitor, but anything is possible. Make sure the insulation of the brown kill wire is not damaged.