2 - Is the Free Edition of Construct 2 Too limited?
Depends what you want to do. You can make small projects with it and it's more than enough to try out the workflow of Construct 2.
3 - Are there website where I should not upload my games?
I'm not sure why are you asking this. If you make a game, you can do whatever you want with it. If you own a license, you can even make money with it.
They need to rename it to test version or something like that.
Free implies way too much.
Maybe, but since other softwares in the same market do call their demo versions "free" it might not be a good idea to drop this term.