Ones they qualify for.
Which is none. The Warrior of the Holy Light is close, but it modifies an ability antipaladins do not have.
True.
I'd think a GM would be open to swapping logical AP class abilities, to change the archtype to fit, but there isn't any RAW ones.
Other than the one in Ultimate Combat...
I think yes, but controlled. If an archetype swap an ability for another that antipaladin have in a specular way (aura of courage / aura of despair) I think that you can take it.
and therein lies the question. If it walks like a duck, quacks like a duck, and looks like a duck, but we call it a chicken can we use the eggs to make omelets for the family and not have them be suspicious?
Without looking I see no reason why they wouldn't correlate although I think it would have to be house ruled and therein you'd have to do the whole "get gm permission" thing. That and probably change a few names. Antipaladin warrior of holy light while having a nice ring to it doesn't really make a great deal of sense.
Fitting any paladin archetypes to work would be a Homebrew question, not a rules question :) The rules are quite clear.
Unholy gun anti paladin, maybe.