I'm not as concerned about Rondo taking the jumpshot as some others are. Yeah, Doc wants him to take it more, but Doc is smart enough to know that Rondo can have the jumper whenever he wants it, and the Celtics do not need Rondo shooting 20 jumpers a game. There are certain instances, like an open 15-footer late in the shot clock, when they often show Doc yelling at Rondo to shoot it, but besides that I'd imagine that Doc is happy with how his young point guard runs the team's half court offense.
I don't think either of these issues really have to do with stubbornness, as much as they have to do with bad habits (he was taught not to push the tempo at Kentucky, and is used to his jumper being the last option). Often times I do find his walking it up the court inexcusable, but there other times when I suspect it may be his teammates fault. Take the game against the Pacers, when the Cs didn't score on the fast break at all. There were times when Rondo should have run, but there were others when he tried to run and his teammates didn't run with him, leaving him no choice but to clear the ball back out and set up the half court offense. The Pacers probably also deserved some credit for getting back on defense.