The reason why they ask students to take tests early is because they would rather that you complete those requirements before hand.
However, rest assured, that just because you didnt take those tests on time does not mean you are in jeopardy of any consequences.
Worse comes to worst, if you haven't taken the test, and you go to your BEAR facts orientation session in the summer, They will let you take it there and then, but you might miss out on some quality time with your orientation group for 1-2 hours.
Sources: I worked as a Bear Facts orientation counselor summer 08
Don't sweat it, just try to take them in advance if you can.
Mainly the only tests freshmen must worry about are:
-AWPE (which I believe you said you took already) writing exam
-MAE (math advisory exam)
Hope this helps