Kinda guessing it's your blinker relay, but tough to say until ya open it up and have look.
Sadly I don't have a book on the agility so can't be of much help there specifically.
Since this might have been caused by some mild corrosion from sitting covered outside when you get it open and find the relay it might just be a simple cleaning of the socket maybe the relay if its not potted.
Possible it's a bad ground causing something to misbehave as well, but once again you'll need to take a look.
If the bike turns over slowly as part of your hard starting issue it's possibly even a battery issue, but that'd be a bit of a reach. That could be a separate issue.
None of this is really hard to check, or do. You can handle it with just a few tools. Take your time keep an old egg container or something for parts/screws. Heck take phone pics at each step.