No, you can't count together moves and blockades. All the moves are played, then all the blockades.
They follow the same order, that's it. If the move order says A has first move, then the blockade order says A has first blockade.
An example:
https://www.warlight.net/MultiPlayer?GameID=12228911Turn 11, Beren has the 1st move, like on all odd turns. So he also gets the 1st blockade. Then I get the 2nd and 3rd, then he gets the 4th and 5th, etc.
Edited 2/9/2017 22:21:04