That box on the far right L12401 is just a fuse holder not a timer. It's just there to provide protection for the contactor coil. As far as the contactor goes it is hard to tell what is going on just from the pic. It looks like A1 is tied to neutral with the white wires and A2 looks like it is linked to the fuse on the right through the orange wire. If that is the case then that should provide your 240V coil power if the fuse isn't blown. If you get 230V between A2 and neutral then that should be right. Check your voltage between A1 and neutral to see if that is tied to neutral.
I can't find any info on that specific contactor in english but if I had to guess I'd say that it just reads the ripple control from the power company internally. If it's acting up then it could have missed the ripple control signal when it was sent or it could just be failing. Does it work if you switch it out of auto mode?

