That is the standard quick connect battery pigtail cable assembly that comes with most Battery Tenders and small trickle chargers to facilitate charging the battery without removing the battery or opening the side cover...
That wouldn’t connect to anything except a battery charger, and would have nothing to do with the no-start problem.
Loud pipes save lives...Nah, they just sound cool.
2009 Honda Rebel-Ultra Blue, the fastest color. (Now residing in Illinois!)
2012 Harley Davidson Sportster XL1200 Custom.