Ok now I've rtft I apologize for repeating the same suggestions as everyone else and also see that you've tried dairy and soy free....
I would honestly get a trial of omeprazole. The Paediatrician started DD on 4mg once a day at 8 weeks old and this rapidly increased to 10mg then to 20mg once a day until she was 18 months old.
It worked very quickly though, the Dr said we would see an improvement within days (we did) but that it takes about 5 weeks to reach full effectiveness.
I found that ranitidine made DDs reflux worse?!
The constant feeding could be a combination of comfort sucking (the trickle of milk helps to soothe the burnin feeling, and being comforted by being close to you.... But at 7 weeks it could also be mixed with U still establishing milk supply and growth spurts.
I know it was for me to say but if you want to breastfeed hang on in there for a few more weeks and I'm sure things will start to improve. Colic peaks at 8 weeks so it should start to ease off soon anyway. We found that by 5 months things got sooooo much better and when she could sit upright things improved even more.
Have you googled Dr Sears high needs baby? My DD has 12/12 of the traits so looking back I can see that some of her high needs were actually just her personality as well as the reflux. Some babies just need you more.
In response to the whole CIO thing, comforting a baby verbally and stroking their face is NOT the same as CIO where you regularly leave them on their own in a room and shut to door and leave them to scream themselves to sleep. That might lead to an attachment disorder and the effects of stress on the infants brain are unlikely to be good for them. BUT that is not what you did so ignore the scaremongers (and I say this as someone who has a degree and MSc in Psychology and studied attachment theory in detail, and used to work in HV - so saw children with genuine attachment disorders. They are not caused by putting a baby down for 5 minutes in an otherwise loving and emotionally responsive household.). It may cause the baby to be temporarily stressed out more - but that is not an attachment disorder and like others have said you also have to consider your own and other children's needs.
I also speak as someone who has been where you are (but without an older child - so hats off to you!!!). It WILL get better even if it doesn't feel like it right now. I promise.
Have a look at that book (Colic solved) and get some omeprazole for your baby.
I also second others who say that different babies need different things. Some babies genuinely need space to sleep. Some babies need to be held. Some need to have a good cry. You are still getting to know your baby - you will figure out what they need over time, although this also changes too, sometimes on a daily basis! Sometimes my DD needed to comfort feed to sleep, sometimes she needed to be held and let to cry in my arms in a blacked out room because she was over stimulated (she cried harder if I put her down). Things that worked one day might not work the next, often there is no pattern with reflux because it fluctuates so much so it's worth trying new things and it sounds like it actually worked because they got some sleep! I always considered each hard won nap a great success!!
You will get through this 


