Winston lee ,from down under in Western Australia.
I do not have any background with the .1100, but have in my stable two 1300's
This probably will have nothing to do with helping to resolve your starting problems but there are some very simple tests that i do when ever I come across any sort of similar problems.
They are,
Battery voltage test, first at rest (no load), and then under full load, (lights on and cranking the motor)
If the bike can be started from cold , run it for a few seconds , then shut it down and then do a finger touch to each of the exhaust pipes as close to the head ports as possible, this will tell you if each and every cylinder is firing.
Then if nothing untoward is showing up, I then take a very careful look at any wiring that I can easily access and check for any sort of damage, ie chaffing, loose and or corroded connectors , and at the same time inspect and clean any earthing points or joints.
Most of the intermittent electrical faults that I have ever had were eventually tracked down to a bad earthing problem.
I have found that these sort of checks have been most helpfull for me over the last 54 years that I have been riding and maintianing my various rides.
Cheers to all,
Winston Lee