Upvote:2
If the question are given by airline personals (or ground personal hired by the airline), there is not much to worry.
They may ask the first question (and maybe the second one), to asses your wiliness to change plans. Sometime international flights are "overbooked", in classical sense, but also they may have passengers that want to flight back (e.g. for emergency reasons, and so they are willing to pay much more to airline). So you may get asked more discretely if you can change your plan (and they may make you an offer). If you later travel to a different city, they may have also more options to get your there. Note: for overbooking (maybe just because they need to change plane type), they may get information about your wiliness to settle with a lower offer (so they may try to pick the "right" person). The first case if voluntary, so there is no "wrong answer", but on the second case you may get in the wrong list.
Or such questions could be done if they notice something strange on you. Nervous flyer? Drunk? Etc. In such case they may look for you (reassure you more, or not putting your near an emergency exit, or just you will have an additional look (to be sure you will not cause troubles). So, they do not care much about the answer, but on how do you answer (nervous, confused, very slow [but you are a native speaker], etc.).
If government cared about such answers, the government would put them in the API (Advanced Passenger Information).
About officer (border control, immigration, etc.)? Do not lie. They may use "wrong answers" as a shortcut for a ban (for non US citizens). They will check your records only when you got on their radar for other reasons. But for US citizens such shortcut doesn't exist.