All very close, or perfect.
I would suggest "don't sweat it" means more "don't put so much effort into it" because of the suggestion of physical exertion and perspiration. However, "don't worry about it" also works in this case.
To plan on running a business is to say you will manage it, on a day to day basis. You can create a business, buy a business, or run a business. Only the one who runs it is expected to get their hands dirty.
You can also run for office, which means to put your name in the ring as a candidate. You don't have to actually do anything, except make a few popular promises and kiss a baby or two.
- For Teachers