Question1： A is correct； B is ok. It would be better —— "他总是连想也不想就回答我的问题" Question2: Actually, you can use either "不"or"没" in this sentence. There is no essential difference in this sentence. "不关门" demonstrates a known state —— the policy of the store. "没关门" —— you are sure of the reality at a certain point in time. I hope it helps.