Her 12 P-700 Granit cruise missiles are a significant threat to all aforementioned naval forces including ours especially if they are nuclear tipped. The Russians could also have one or two Oscar II submarines hanging around which is armed with 96 P-800 Oniks Yakhont (Super Sunburn) missiles which could cause horrific damage.
Right you are. People tend to forget that the Kuznetsov is a one off design that is part aircraft carrier and part missile cruiser.
..assuming these subs lasted long enough to launch and if these actually hit a target. doubt that any of these could close with a US combatant without said combatant being fully aware of their presence.
if there are Oscars about it can be assumed that they are
being shadowed by forces who can show them love if necessary..