this meets my three strikes rule - three questionable ideas in one little project, and I'd start over-
-6' high, that's awful, you want some head clearance, and with most framing materials coming 8' tall, that's just wasteful.
-5x20, just bad dimensions, you won't be able to put stuff too deep to have access if you're moving down one side or the middle, unless this is a lean-to for firewood, in which case the dimensions are still bad which leads to-
-flat roof, ridiculous! Unless you want to think of this as a very temporary structure, like 1-2 years, this will rot out quickly.
There's a million very simple shed videos on youtube, pick any and use it as a guide. overhangs and pitch can cure a lot of sins in building.