Just thought I'd throw a few thoughts in here.
Cluster feeding before bedtime is normal, and encouraged at this age (Tracy even suggests doing it). I use to do it all the time with my lo, and it helped her sleep at night somewhat because she wasn't as hungry. So, while it works for some, it might not work for others. But it's certainly something that's ok to do...I'm not sure why it's being suggested not to do it.
I'll be honest, at 5 weeks, your lo is just now getting his nights straightened out. The BW principals do work, but they take some time, something I can see you're really trying to do. I know a lot of people would probably say "stick with it" at this point, but tbh, right now I think it's best to just do what you know works, and then try and straighten his day out as his night sleep develops in a few weeks. Babies are creatures of habit, but it only takes a few days to change a habit at this age.
Something you can do now to set the stage is create a wind down routine that you're going to stick with for awhile for naps and bedtime. If you need to feed to sleep for a few weeks, put that in your wind down routine, but take it out when you start to really focus on sleep training.
So, his schedule looks more like wake,feed, diaper change, feed (or whatever you want to use as a prop) back to bed for now. As soon as night sleep is developed in a few weeks (you'll notice he's sleeping longer at night), you can ease into sleep training. Pacifiers are wonderful things if your lo will learn to take it! You'll eventually have to wean him, or he'll wean himself, but they're soo nice in the beginning.
Hope something in here helps!
*HUGS*
Sonya =P