Hi asultana_80,
Now that we have a 'baseline' CAT score for comparison, we have to talk about your 'big picture' plans. You can take the GMAT in 1 month's time, but it's highly unlikely that you'll be skilled enough to score 600+ in such a short period of study time. A 200+ point improvement is a BIG task. It's not impossible, but it would probably take you 3 months to achieve it (and even after 3 months, you might still need more time). Even if you don't have much additional time, ANY extra study time would be beneficial.
You mentioned that the application deadline was June 1st, so if you still want to make THAT deadline, then you can push your Test Date back, study for a longer period of time and work on your applications (along with whatever else you have going on in your life) at the same time. I know that hearing this probably does not make you happy, but the larger goals are all dependent on you scoring at a certain level on the GMAT. Without that score, the other parts of the plan likely won't be successful.
GMAT assassins aren't born, they're made,
Rich