When I type 3/4/2016, the result is 3/4. I can enter 3/5, or any other date and it shows correctly. It’s the same in all cells.
Autocorrect changes 3/4 to a symbol that is not recognised as date. My solution enter 3/04 then it works. You will have the same problems with 1/2 1/4 1/8.
Other option is to disable Autocorrect.
Thank you!