When I picked up my falco it would not start at the sellers house , ( the engine spun over plenty before the battery went flat ) we put the bike into the van and then charged the battery when we got it home( brothers ). again it was still a poor starter but it did turn over however it would either fire or soon flatten and reset the dash
once it fired and warmed up it would be fine running around so I got packed ready for my return to my home early the next day, only to find it would spin over but not fire then flatten again , so back into the van, take it to my brothers work ( motor factors ) to remove the battery ( I should of got one straight away when I got the bike ) we found it only had a 12 amp battery fitted
We fitted a new 14 amp and now it starts first click ( every time hot or cold) of the button no spinning over but instant start as soon as the starter is pressed
My brothers battery book states a 14 amp battery as does this site
http://home.comcast.net/~sl_mille/battery.html
( oddly I think my book lists 12 amp )
I did notice your photo nicketynoo of your old battery is rated at 11 amps
it may of been fine when new but if its tired it wont help
Like i said my old battery would spin it over but not fire it up this new one just fires up no spinning over instant start
I would also think your charger may be ok , on my old battery the optimate we used, said full charge.
it just was not holding it under load , sign of a tired battery !