I think we'll beat them easy. They have a very tough game against Chelsea in which they'll probably lose. Even if they don't they only have 3 days rest before playing us while we have 5 days rest. Title is ours to lose now, can't see us messing up now.
EDIT:- If they lose the game against Chelsea, Spurs would potentially be 3 points above them with better goal difference, so Spurs would have to not only lose one game but also draw or lose in their final game for Newcastle to finish 4th.
Can't see them qualifying for Champions league at all, come our game I think by then they'll be out of the run in for 4th.