D.W.
I do agree that you can't spoil a baby enough at this age.
I was on maternity leave with both kids but still had internet access. I was a work-a-holic and couldn't separate myself from e-mail many times/day. My job defined me, and I wish I hadn't.
I used to put my son on my lap so I could use both hands to type messages. He loved it. I'd also bring his car seat into my office and rock it with my foot.
Some babies just need the comfort of hearing Mom's heartbeat and the things that are familiar. Both of my kids got really settled being in the car, not because of the motion, I'm convinced it was because I was driving ~1000 miles/week, and it was part of their experience in the womb.
Good luck! I hope you find some sleep and peace soon.