M.K.
Hi,
I have a daughter who is almost 9 months, and we've traveled quite a lot with her (something like 14 flights). I traveled alone with my daughter to Europe this summer (she was ~ 4 mos), and it went fine.
It's easier when they are littler and don't need to move around as much. But at any rate, bring lots of toys, and don't show her the toys for a few days before you leave, so they are more interesting to her when they "show up" on the plane. bring books and things she can occupy herself with during the flight. Try to get a baby cot from the airline that she can take a nap in on the plane. that really helps, but the most important thing is to have things to occupy her with. also be prepared to do a lot of walking back and forth on the plane.
in terms of the time change, babies are pretty amazing at adjusting. going to Europe is easier than coming back. my daughter had no jet lag whatsoever going there, but coming back, she fell asleep (for the night) at 3, 4 pm for four days in a row.
Just don't stress and make the best of the situation, if you are stressed your baby will get agitated as well, but if you just focus on creating distracting her and playing with her, you will both be OK.