Hi Richa,
I agree with your explanation for Question 1, what should the PM do FIRST. The first thing one should theoretically do is to log the issue. In my view there is no difference between that or what should the PM do first to RESOLVE the issue. Both are asking the same thing.
If the question says what should the PM do to resolve the issue this is where you should be looking for the most proactive answer to bring the item to a close. Not necessarily the first thing you'll do, but the option that will have the most impact. In this case, investigating the issue.
I believe these questions are designed to reinforce that documentation is an important part of what we do, but our job doesn't stop there. To bring something to a close we need to be active in understanding the problem and supporting a solution.
Kyle