Hello and welcome. First off, congratulations on your new baby. They are so much work but so worth it huh. The first few weeks are hard. I may not be of much help but wanted to say that you are doing great. I never had the bw book when lindsey was that young so I just did whatever it took to get her to sleep and hopefully she would stay asleep once I put her down. I personally think that 6 weeks is too young to begin sleep training. I would rock her, jiggle her, swing her, nurse her, whatever it took to get her to sleep. I really think that at that age it is ok to do these things as babies crave/need the human touch, contact to feel secure. Once older, say 3-4 months then begin trying to establish a more consistent routine and begin sleep training. As for the paci I say give it to him, babies have a reflex need to suck until at least 3-4 months of age. Hopefully by that time he can find his fingers or thumb. Anyway, I remember what worked for us sometimes was to swaddle Lindsey, give her a paci if she was tired but not hungry, and then rock her to sleep. I also co-slept with her til she was about 2 months old and this helped a lot for me as I was breastfeeding. I also can remember that when it was bedtime I would lay beside her and hold my hand over her chest/arms to comfort her until she went to sleep. She too was swaddled. Sometimes I had to give her a paci, sometimes not. As she got older I would swaddle her with one arm out so she could get to a hand for soothing. So, I would say do not let him cry at this age, do whatever it takes to get him to sleep so you too can rest, and worry about sleep training later when he is older. Just my opinion though. Just try to relax and do whatever you feel is best for your baby. Don't worry about what the books say, trust your instinct and hug, hold, rock your baby if you want to. Just enjoy him right now being so little, they grow up so fast. You are doing a great job. Trust yourself! I know this is not very BW but like I said, just my opinion.
Oh, I wanted to add that he may be in a growth spurt now so that may be why he is so fussy. They have these at 3 weeks, 6 weeks, 3 months, 6 months, 9 months and 1 year. Hope this helps.