In pathfinder/D&D good and evil are objectively false (as in they are objective concepts that really exist but are provably self contradictory and thus false). WotC and later Pazio failed to be even self consistent (the lowest test of a moral theory) with regards to morality.
So let's presume the DM fixes the contradictions(or replaces it with a consistent objective morality).
Q1) Do the gods know the objective moral truth?
If 2 gods disagree about whether something is moral/immoral then that implies that the gods do not know the objective moral truth. Contrariwise if they do know the objective moral truth, then they probably would not disagree about it.
Personally I fall in the:
Gods do not know the objective moral truth, but they are very good with divination so disagreements are notable and usually more visible than the points of agreement.