Triac spurious triggering issue
1st Read the MOC3021 datasheet, you have a correct circuit for inductive loads. Not only the snubber, also the trigger circuit is different
2nd: the snubber goes connected across the triac, not between live and  neutral.
3rd: Triac isn't suposed to drive capacitive loads, so why don't you use a phase angle control instead using capacitor in series, as this isn't the good manufacturing practice.

EDIT: Motor and capacitor can cause serious problems, not only for triac but for entire mains network, because it is an LC circuit which can lead to ferroresonance. At this point you can induce large overvoltage spikes that will damage apliances, yours and neighbours arround you.