Oh OP, I can hear your exhaustion and desperation and I recognise it, I've experience and felt similar 
I've read all your posts but not all the replies so apologies if I repeat anything...
There must be a reason baby is so unsettled, likely causes could include tongue tie, reflux (could be silent reflux ie no vomiting) and/or CMPA.
Am I right in thinking you had an appointment for a TT assessment on Monday? If so how did it go?
I think you said you are cutting out dairy. I have done this too (for DC1 and DC2, both breastfed and both with CMPA). It is shit when you're exhausted and morale is low and you can't even treat yourself. But it is honestly worth trying it, because if baby does have CMPA, going dairy free should make a big difference.
I hate most dairy free chocolate but recently found a really nice one, the brand is Nomo and you can get it from Tesco, Sainsbury's etc. And there are some good treats listed at dilanandme.com/dairyfree/treats-list/
If you think baby has reflux (or silent reflux) medication might be helpful, talk to your GP.
Actually talk to your GP anyway. Do a symptom/sleep diary for a few days so you can clearly show the extent of the problem. Ask them to refer you to a paediatrician if they have nothing helpful to suggest.
Lastly you could contact Cry-sis as they offer support and advice.
Hang on in there. It feels as if it will never end but it will. 