Depends on where the definition for "internet" is coming from. I, for one, do believe that from the point of view that the foundation of the internet resides in ArpaNet (https://en.wikipedia.org/wiki/ARPANET), which is indeed an American invention.
It's correct. You must be thinking of the Web.
Who do you think invented the Internet?
Probably the fact that iana and icann are based in the states.