My take is that with the round 2 deadlines coming ever closer, it's probably best to spend your time and energies on producing the absolute best applications possible. Dividing your time between the application and giving the GMAT another go, may dilute your efforts across the board.
Also, you haven't shown a pattern of improvement with your verbal score actually going down the second time, so it wuold be even worse if you divide your time and don't see any improvement.
690 is a decent score. If you keep tinkering with it you'll get dinged simply because you didn't dedicate enough time to the application, which is extremely, extremely important.