Two weeks is still really, really young -- and also really soon after birth for you, you're still recovering. Mine is 6 weeks and I'm now managing to do a few things like go to a playgroup or get groceries -- and I have dh home full time!
The kids' personalities make a huge difference, as others have said. R is far more laid-back than my first and third were. He doesn't like to sleep alone or be on his own for very long (I think the longest stretch I've laid him down awake for was long enough to wipe down the counter and quickly clean the toilet in the bathroom), but he rarely cries if he's being held. I can put him in the wrap and take care of the other kids -- make sandwiches, brush teeth, read stories, wash dishes, sweep, pick up toys, etc. My oldest, on the other hand, was fussy and gassy and wanted to comfort nurse a lot and be walked a lot. It would have made things much more difficult to have older kids to look after.