One problem is the term "common sense." Exactly what is common sense?
The first two statements are almost mirror reflections of each other. Both can be considered largely true in the broad sense, yet they both have some problems.
Is it OK to spit in another person's face? I think most people around the world would say "No," and would further classify that as common sense. So I agree with the first statement...except for the clause "regardless of outside influences," which leaves little room for exceptions.
The second statement also sounds pretty much on target, except for the last clause: "especially if the individual has had a fairly traumatic upbringing."
Huh? Sure, a traumatic upbringing can impact a person in many ways, but it sounds like a weird thing to inject into this argument. There are plenty of people who had very privileged upbringings but nevertheless have different ideas about common sense.
The final statement is an obvious ad hominem attack.
Practically speaking, you really don't need to analyze this conversation in more detail. Common sense tells me person A is a jackass that I really don't want to associate with, period. The information we're given about Person B is insufficient to form a solid opinion. Based on the final clause in his statement, I might suspect he's a little clueless, but he might have simply said something that sounds a little awkward in haste.
If we want to go into more detail, the last statement can be construed as two separate statements:
You don't have any common sense.
You don't know how to function in society.
Rather than simply say "I don't agree," he levels two separate, though related, charges against Person B. I'm probably going out on a limb here, but you might almost describe the first charge as an example of poisoning the well. (However, Wikipedia's definition emphasizes "preemptive" attacks.)
The second charge can be interpreted as nothing more than an additional insult. But it almost sounds like a red herring.
I can't remember the exact quote, but I think Nietzsche commented on the wisdom of avoiding people who aren't terribly intellectual. That's something I learned long ago, and this is precisely the type of conversation that led me to abandon break room political discussions.