While I am a little upset that there was not as much Edward and Nessie time as I would have liked, I don't believe that that is because Edward disliked Nessie for any reason, or because Jacob was there and being the man in Nessie's life, I think we just didn't see it because there were so many other things to be looking at, what with Bella learning how to be a vampire, and then all the other vampires coming and the thing with the Volturi at the end. I've read a few of your posts about how Edward didn't seem to be as doting a father as you would've expected, but I don't think that's true. I think you can tell just how much he really loves Nessie and all that right after Bella wakes up to being a vampire and he's talking about her. Yes, he's not being all mushy about how he's talking about her, and maybe it's just the way I imagined his face and how he sounded when he was talking, but I got the feeling from that of just how much he really loved his daughter. He seemed to me to be very ready to take on fatherhood once he got past wanting to kill the fetus, which was only because it was killing Bella. After that though, I think he really embraces fatherhood and is ready to do anything for Nessie. Look at how he is with not only Bella, but also Alice and Esme. He already dotes on them in a way, and the way he treats the women in his life definitely shows wonderful fatherhood potential, and I believe that he really does live up to that potential.
"You held out your hand, and I took it without stopping to make sense of what I was doing. For the first time in almost a century, I felt hope." ~ Jasper Hale