The Name is your OSX account name. The password is your OS X password. Adobe doesn't control installs on your system. OS X does.
That said, read Chris Campbell's post here: ATTENTION MAC CUSTOMERS - Flash Player 13 "Plugin Failure" Workaround
You're best to hold off on installing 13 a while, even if your Mac is new. They'll have another release in a few days to a few weeks. THEN it'll be safe to update.