As i see it the problem with Woakes is his lack of pace at Test level As an up and down bowler he won't bother the best players.
Woakes is neither slow, nor an up and down bowler! He's bowling quicker than both Broad and Anderson these days, has put a few yards on since becoming involved with England, and he has always moved the ball both ways.
Anderson and Broad both increasingly look like they're on the way to being shot out these days, I would have rested at least one of them for this series in the hope they can regain some fitness and sharpness, which would also have given the chance to include Plunkett for a little extra pace (although he isn't actually much quicker than Stokes) or give Wood a chance to prove himself.