A few problems with date/time handling on Safari:
setting course start and end dates on a new course run does not show the date selector and any input added manually results in 'Invalid Date' appearing in the text box and the user cannot complete the course run creation.
for existing courses, the date format appears as yyyy-mm-dd as opposed to how it appears on Chrome (mm/dd/yyyy)
for existing courses, the time format is 24hr as opposed to how it appears on Chrome (12hr, with AM/PM)
show date selector for all date fields
ensure that the date selector enables setting dates properly
set date and time display formats to match
check these issues on Firefox, Edge, and IE and/or create a ticket to do so