What does he like? Some newborns are super clingy, my DD was. I’m guessing he wants to be held and snuggled up all the time? This is not unusual (as PP said, look up 4th trimester) - many newborns do not want to be put down.
Swaddling/stretchy sling might do the trick, but you have to give them time to get used to them and make it as easy and pleasant for them as possible. My DD would go in the stretchy sling for a while, but only if I was moving. So for the first week, I let her have it all her way and wandered round the house with her in the sling for 30-45 minutes every morning. Once she was used to it and felt safe in it, I didn’t need to do that any more. She hated the car seat too, but she was more settled if once she was strapped in I tucked a blanket around her so her arms were tucked in, and that seemed to help.
I couldn’t put mine on her back to sleep at that age. I had to hold her till she was completely out and then transfer her. Not easy! A lot of the time I just held her for naps in the early days.
Your baby is TINY. Right now, he feels safe and comfortable when he can hear your heartbeat, smell you and hear your voice. That’s really normal at his age! He won’t always be like this. For the time being, you need to adapt to him, rather than him adapting to you. As he gets older, he’ll learn to be more flexible. He’ll become more interested in his surroundings, and the pram will become and interesting place to sit and enjoy the view from. You need to give him some time.