Currently the default time set and displayed is that of the institution. Not everyone is taking this course in the US. I understand that there is "a mouse hover" as opposed to a mouse over ability on some pages. Unless you are fortunate to know and understand this feature and have time to spend "hovering" your mouse every time you wish to check and confirm time for submission you may get caught out.
Is it not possible to set the default time for the time zone in which the student is situated and have the "hover time" set to the institution time. This will be by far more user friendly and of more assistance to the student. Time for submission should not be open to any form of doubt or possibility of misread or over-looked.