Not only is Aya traveling to South Korea, but she's also traveling to Japan.
I went to a hair salon before taking my trip, but it ended up shorter than I'd wanted.
Seriously, it’s already been a week since our trip together and he hasn’t called me back. I must have farted too many times while I was sleeping.
You've hopefully seen 旅行 by this point. This is the verb version of that. Instead of "trip" it's to travel or to take a trip. These are fun to do. You should do them!
The reading is the same as 旅行, but it also happens to use the reading you learned with the kanji anyways, so you should be able to read it.