At 6 weeks old personally i wouldnt be doing the CC thing... they dont know any different. They need you to just be there for them and they need to build their confidence in you.

Jesse would do something similar for the first 2-3 months. 3-4 nights a week we would go through this. He would just cry and cry and cry. Nothing DH or i could do would help him. In the end DH would just sit with him and pat him until he eventually fell asleep. (I didnt have the patience to do this as him crying would just make me upset). He eventually just grew out of it and stopped. We have no idea why he did this.. as to this day he has never been sick, had an ear infection or anything..