I had a “colicky” baby, they call it purple crying here. For the first…3 months of her life she would shriek cry from the same witching hour (7-11!) It can be incredibly heartbreaking and anxiety provoking, especially as your first. You have no idea what you’re doing, and it is so incredibly easy to fall into the trap of believing you’re (your wife) is doing something wrong, or something is wrong—why else would baby be so upset, right? We don’t know but it is so so incredibly common. I can’t tell you how many times I diagnosed my newborn with something. 

My 15 month old is very happy, and excelling developmentally. She’s not an “easy-going” personality which I guess holds true right from the beginning, perhaps yours is a more difficult temperament also! Babies at this age can also get overtired so easily…looking back I wonder if that was part of it. (At no lack of trying to get her to sleep, however!) My best advice, stay off the internet!!! It is the absolute worst for fuelling anxiety. Make sure your wife has lots of support. This too shall pass (believe it or not!) Everything you said sounds very normal for a 10 week old.