1. I asked your question to Rabbi Shlomo Fisher, shlita. He ruled that in your case there is no obligation to light Chanukah lights.

    This can be explained as follows: The Talmud describes the mitzva to light Chanukah lights as “a candle for a person and his home (Shabbat 21b). The obligation to light Chanukah candles applies only if you are based in a home at the appropriate time for fulfilling the mitzva.

    But if you’re riding with your family in a car or plane the entire night – and there’s nobody residing in your home – you’re exempt from lighting Chanukah candles.

    Best wishes from the Team