Yes the 2 are the same in functionality and you can transfer files between the two. The Student license will work with the Academic version.
Correct - there is a difference in functionality between the Academic Version and the Academic University version. The Student Edition is the same functionality as the Academic Version - so no simulation.
There is only 1 version of software with 2 versions of licensing (Academic and Academic University). Each license enables specific functionality. The Student Edition licensing enables the same functionality as the Academic licensing. Files can be transferred between them. The Student Edition license has a specific expiration date based on when it was installed.