Its most likely the battery, see what voltage the battery drops to on start, if below 10V (on the voltmeter on the left) battery has died. The bike doesnt like sitting for a month with out starting, the clock does slowly drain the battery.
If you are going to leave the bike unridden for some time, then a battery tender of some sort is needed to keep the electrons moving. If left idle, the sulphirc acid reacts with the lead plates and forms an insoluble coating of lead sulphate.