Really?! What does this say about my parenting?!

News Flash:
We have a dog to give away, or in seriously need of some training. He's been a good puppy for the most part, a little high strung and hyper, but really, he's part terrier, what did we expect?
He loves to steal stuff and have you chase him, but he's been pretty obedient over all. Until this last week. We had him neutered a little over a week ago and ever since then, it's like he's possessed. And I don't know what to do with him. He's always loved to chew and if you let him, chew on you, but if you told him to stop or "NO" he would. Now, he just gets sassy and crabby and barks at you and really bites hard if you ignore him. This HAS to stop.
1. We have a renter upstairs who probably doesn't appreciate him barking all the time.
2. With the baby coming he can't A. Bite B. Steal Stuff C. Bark a lot D. All of the above. The correct answer is D.
3. He needs to obey!!!
We were at the grocery store on Sunday and he was in the car and when Andy went to get out of the car he jumped out. He's never done this before first of all, and secondly, he wouldn't come when we called!!
I think a lot of it is an attention thing, he wants to be chased, he wants to play, he wants attention period, even if it's bad attention. But this has to stop! I thought the neutering thing was supposed to calm a dog down, not have the opposite effect. Grrrr....I'm sooo frustrated!!!