Hey there First of all big hugs to you. My son is nearly 12 weeks and those first couple of weeks were shocking!!!
The best advice I received around this time was just cuddle them. If that makes them stop and allow you to get some peace and quiet just then do it. I was so stressed out cos my bub would sleep all day and then be up all night. I was worried that too much cuddling and rocking to sleep would cause a rod for my back and make him need those things to get to sleep. The Maternal and Child Health Nurse told me that at this age their brains are not actually able to learn habits (apparently that doesn't kick in till about 3 months). I was so relieved when I heard this that I happily cuddled him to sleep and even had him in the bed with us a few times. He now generally settles quite easily and is not needing the cuddles etc to settle.
I really hope this helps you and DP, I know it worked for us