In my opinion, RAW for this setup would be supported.
Mounted combat rules mention that the movement of a mount counts as their action, and a mount can charge as that action. You are allowed to attack at the end of the movement.
Ride-by Attack mentions that you may charge on a mount and attack, then continue to move after the attack (upto maximum of double the mounts speed).
Pounce says that a creature with this special attack makes a charge, it can make a full attack (including rake attacks if the creature also has the rake ability).
The real question is, whether the mount can only make a move action (thus allowing you to move only) or it possesses both a move & standard action thus allowing the full attack action.
