I'm a little worried my flight arrives in Incheon Airport with Korean Air at 1435 and I have to be on my next flight also with Korean Air to Osaka at 1520. It doesn't give me a lot of time does it? I booked through an angency and they didn't seem too concerned but I'm panicking as time draws near.
I'd love to know:
a) is this actually doable?
b) do I need to grab my hold luggage or will it be automatically transferred into my next flight?

please someone put me out of my misery and let me know I can do this!
Thanks in advance!