Corolla has sensor based AC, Yaris has clutch based
I have kept 2010 and 2016 corolla and it felt odd to me too, checked multiple new and used yaris the clicking sound is there in all of them of the clutch engaging and disengaging.
All toyota showroom said this is normal for Yaris, i insisted on inspection from Indus team who have always been co-operative with me, they also said this noise is design no issue.
Second noise is very hard to hear. A sort of hissing noise inside AC vents. That is because of AC gas flowing again after compressor comes on.