Question #1: Are the following sentences correct? A: 这个问题，他连想都没想，就回答出来了。(Without giving any thought to the question, he just answered it.) vs. B: 他总是连想都不想就回答我问的。(He always answers whatever I ask him without thinking.) 不 is more subjective. It concerns about your ture feeling(he didn't want to answer my question). However, 没 presents a fact that he didn't think about my question. Question #2: Am I supposed to use 不 or 没? 那家商店每天都开，春节也___关门。 不 and 没 are both available in this phrase.