Ok so if he’s feeding a lot, does he feed more than 12 times in 24 hours? This article from Kellymom gives a pretty good picture of what’s normal in the first 6 weeks. Does his feeding sound anything like this?
if you think he’s feeding more than this or he isn’t settled after a feed, then it’s worth reading this article on Tongue Tie as that can affect feeding whichever way you choose to feed your baby. Do any of the symptoms mentioned sound familiar?
I Dan totally understand you wanting to pump so that you have a break occasionally.
Between 6 weeks and 6 months a fully BF baby will take around 25 floz in 24 hours, a 4 week old baby will take little less.
So if your baby hasn’t fed for 2 hours then a feed of expressed BM (breast milk) should be enough.
Some Women find that they express more if they pump at the same time each morning. If you’re expressing straight into a bottle you could also put a baby’s sock over the bottle as you express. Research says that if you can’t see how much your pumping in a session you will actually pump more.
7 hours of screaming is unusual though, especially if you’ve tried all of the normal techniques like another feed, nappy change, https://m.youtube.com/watch?v=MIyQZkPRDv0&pp=0gcJCf0Ao7VqN5tD Tiger in the Tree Hold, and taking them out for a drive or walk.
If that happens again i would film the screaming so that you can show the Doctors and take him along. It maybe that he has CMPA and that will need ruling out.
If you want to try a formula again i would try one in the morning when the Doxtos are open so that you can get help if he has an allergic reaction and try a comfort formula like Hipp Comfort as the proteins are more broken down in comfort formulas making them easier to digest.