You need to watch that arrow spine on the longbow a lot more. They are lighter in the hand too, so you tend to want to move them around more. Also if you cant the bow, it moves the center to the right which does not happen with a recurve. Lot's of shooters say their bow shoots to the right but it's really just when they cant them. Or it could be the arrow spine too light.
these are the 3 things I pay close attention to. Steady bow, not too much cant (at least until you're hitting good and then can work on it) and the right arrow for the bow.
sam