on the current rating of the socket and the battery pack..........Looking at the e-bay link that Bikerpiker put in his reply, these things are to give a 10min battery top up before you try and start, they dont have the charge density or harness resistance to deliver big amperage to do a conventional jump start.
The fact that the battery pack has cigarette socket and normal gauge wires also backs up the fact that it is not a high current supply, so for the way it was designed, the socket, wiring & fuse are all fine to work with the battery pack.
BUT..........Please dont try the Car to bike jump start option with these connectors or wire gauges as it will just melt if the bike battery is flat and all the current is coming from the car.
It will be ok if you are just using the car to trickle charge the bike if you have no mains electricity near the bike.
On the paint job.............I like what you have done, especially with the lower fairing and how it hides the join between the upper an the lower.

oh and the colour matched mirrors.
Good work.