Unfortunately, no.But the last time I plugged the cpu fan, i was sure I heard clicking sounds. Is there any way to make sure they're in place by looking from the outside?
Testing the cpu under load is the best way to be sure.
The I3 6100 has a max operating temp of 100C. Intel's own cooler should be capable of keeping the cpu 15-20C below that.
The image you posted earlier shows that it cranked up to 100C in under 5 mins. Not ideal.