No. It doesn't have a website. Because that would involve more paperwork.
Yes. It was named after the programming language.
RedCode is not the same as broken code, buggy code, or incorrect code, since the problem could be in one or more tests, or there could be a new test that the code hasn't been modified to pass yet.
RedCode is a succinct description of a state of affairs (the tests don't all pass) without implying anything about where the problem, if any, actually lies.