Is this design OK to hold 300lbs of person on the bench segment? Do I need reinforcements for the shelf?

I'm working on an eagle scout project to construct a bench/shoe storage for my school wrestling team. I've attached a schematic with the dimensions. I want to build it out of Cedar. I don't know if the bench (the 4ft segment labeled [bench]) is stable/good enough to hold enough weight (~300 lb). I don't know if cedar is appropriate for the shoe bench, I selected it because I read that it's the strongest for such applications. Could anyone give me any pointers/tips? It's my first time...

Is this design OK to hold 300lbs of person on the bench segment? Do I need reinforcements for the shelf?