I have a whole bunch of kids and the one thing they have in common the most is that every single one of them is completely different from all the other ones. For example, for the first few months of his life this one boy would not sleep when laid down. He'd fall asleep perfectly fine on your arm, but once you carefully put him down he'd awake within about 10mins and started to cry. You'd pick him up again, he'd fall asleep pretty soon, you'd put him down, he'd wake up... We soon learned that this particular child, unlike the others, just needed to be in contact with another body in order to be able to sleep. It was either that or crying.
All of my kids were carried around in a wrap (none of them was in a buggy/stroller/pram) and this boy would sleep perfectly fine in that. So for the first six months, either his mother or I would carry that child on the body all evening. When we went to bed, one of us would take him in the arm and, when he calmed down, try to slowly disentangle from the child and move him to the bed extension (like a small balcony) we had built. But I do remember bad nights when half the night I lay on my back with him sleeping on my belly, and the other half his mother had him in the arm, teat in his mouth.
The older he became the less a problem this would be. After a few months (probably a little less than half a year) we found out that he'd be perfectly content alone when wrapped very tightly in the carrier wrap, with his arms and legs firmly tight to his body so he couldn't pedal and struggle. So we made a little spectacle every night of wrapping him (he'd love it and giggle a lot), lay beside him for a while until he fell asleep (or, later, until he became calm), and left the sleeping room to do whatever parents do in the evening when all the kids are asleep. (Mostly this is about feeling tired, I think.
:)) I think we slowly tapered out this practice before or around his first birthday.
I have no idea whether this tight wrapping, had we tried it in the first month, might have solved the problem then already. And even if it did, as per my first sentence this wouldn't say anything about the next child. but from my experience I'd suggest you try letting this child fall asleep tightly wrapped to your body. If that helps, try wrapping him tightly without your body being involved.
I'd love you to report back here what you tried and whether it helped.