smoldered plug on RSV 1000R 2001

Hi,
I own this bike for a week and loved it till now.
I had the following problem:
Trouble to start my RSV 1000R 2001, thought maybe the charging system or bad battery.
Did let bike sit for a few hours and started right away.
Rode for about 10km, fuel light went on, few hundred meters later it just died.

A long walk and pick up of bike later I wanted to take battery out to recharge and noticed a smoldered connector to the part that charges the battery with a consistent current (sorry, whats the name for it?).
The battery is a Motobat and marked as 2011.
The bike had a Dynojet fitted and I am not sure how professional that was done, don't even know what exactly it does yet or how to change settings.

I did get the manual for it and started reading on this Forum.
There were things like the connecters on Aprilia are a known failure but I just want to make sure I am not chasing the wrong thing.

If any one could help I be bloody grateful!

Thanks

Ok for anyone experiencing the same or similar problem, please search for "wiring mod" in the search bar, that explains it all.
Has to do with too much resistance on the connecters and needs to be soldered, but better check the exact description

Thanks butch, I give it a go

Thanks redratbike, I see that I get it moved in the original position, thats how it was already