Seelah, the Paula Deen's page

My take:

1. No RAW, but RAI it might be implicit that "healing" extends to damaging undead as well since its the same ability doing it. But RAW no.

2. a. Unclear. There seem to be contradicting dev responses about whether an alternate class is its own class or an archetype, and the "technically an archetype" text in the APG is marked for errata. I bet the devs will eventually rule that alternate classes are not archetypes but are their own class.
b. Bracers don't apply to damage RAW. RAI unclear.

3. I can't find a pathfinder definition of what counts as an effect. If theyre isnt one then the answer is yes.

1. RAW, does the +4 to level apply for purposes of damaging undead as well?

2. Is the antipaladin alternate class considered a paladin for the purposes of this item like an archetype of the paladin would be? I know an antipaladin's touch of corruption is modified by things that modify LoH, but is an antipaladin technically a paladin or not? Would these bracers then apply to damaging enemies?

3. Does the effect provided by the bracers count as an effect for the purposes of the antipaladin's touch of corruption class feature? ("Modified by any...effect that specifically works with the lay on hands paladin class feature")

When worn by a paladin, he is considered four levels higher for the purposes of determining the uses per day and healing provided by his lay on hands class feature. Additionally, once per day, the wearer can infuse a use of lay on hands with additional power, providing relief as a lesser restoration spell.

Beginning at 2nd level, a paladin can heal wounds (her own or those of others) by touch. Each day she can use this ability a number of times equal to 1/2 her paladin level plus her Charisma modifier. With one use of this ability, a paladin can heal 1d6 hit points of damage for every two paladin levels she possesses. Using this ability is a standard action, unless the paladin targets herself, in which case it is a swift action. Despite the name of this ability, a paladin only needs one free hand to use this ability.

Alternatively, a paladin can use this healing power to deal damage to undead creatures, dealing 1d6 points of damage for every two levels the paladin possesses. Using lay on hands in this way requires a successful melee touch attack and doesn’t provoke an attack of opportunity. Undead do not receive a saving throw against this damage.

Beginning at 2nd level, an antipaladin surrounds his hand with a fiendish flame, causing terrible wounds to open on those he touches. Each day he can use this ability a number of times equal to 1/2 his antipaladin level + his Charisma modifier. As a touch attack, an antipaladin can cause 1d6 points of damage for every two antipaladin levels he possesses. Using this ability is a standard action that does not provoke attacks of opportunity.

Alternatively, an antipaladin can use this power to heal undead creatures, restoring 1d6 hit points for every two levels the antipaladin possesses. This ability is modified by any feat, spell, or effect that specifically works with the lay on hands paladin class feature. For example, the Extra Lay On Hands feat grants an antipaladin 2 additional uses of the touch of corruption class feature.