Hi
At 6 weeks, he is still very tiny and its totally normal for him to want to be held. All he's ever known is the safe and somewhat noisy environment of your belly, so lying on you and hearing your heart beat and breathing, etc. is really comforting for him. There's a concept of the fourth trimester you might like to read about.
To answer your questions:
Yes, you can keep him swaddled while you do shush/pat.
You can give the paci if you so desire. Its perfectly reasonable to give it.
As a bit of extra info -
It might help to give him some white noise that plays throughout the nap.