Height is the only restriction I'm aware of. As long as the child obviously doesn't look older than 3 there shouldn't be any questions.
Yes, they can visit all the different lands. I'm sure it's obvious there are attraction height requirements. As for proof of age, unless the child obviously looks older than 3, one is good to go.
Yes you need ID if you have it else if they look older than 3 you may find you have to pay, the only restrictions I'm aware of are the various height ones but there are some recommended places not to take them (live action shows that would be too scary etc)
Thanks! Your answer is awaiting moderation.