On the question of fairness, I'm not aware of any attempt to measure the relationship between perceptions of fairness and attitudes directly. I do know that confidence in institutions—trust that the government knows what it's doing, trust that the bureaucracy works—is generally associated with a belief that immigrants will come and integrate well. To the extent that this is a measure of fairness—that we think the government is doing its job and processing people smoothly—that would address your question.
On November 1st, 2018. See this statement in context.