The only item in your list that GAAP doesn't apply to is #2. And to that, I really don't even understand what you are requesting. Company funds are not to be mixed? Mixed with what? Why?
In the real world, mixing personal and corporate funds is called commingling. It lands you in prison, typically.
If you are listed on the exchange you are no longer on the level of sole-proprietor.
If people want to invest somewhere that mixes business and personal funds, they can go to The Bank of Dank.