AFD I am not on the A330 so the following may not be 100% correct.
Generally the A330 is nicknamed the "beach fleet" because of it's destinations. It operates from Seoul, both ICN, and GMP, and there is usually at least one in Busan (PUS) to cover flights to Japan and SE Asia. If you are looking for it's exact destinations have a trawl through the KAL website, but generally from ICN it goes to SE Asia, China, Mongolia and Oceania, with a limited number of destinations in Europe. It doesn't go to the USA. From GMP it does domestics to Jeju .
The scheduling rules merely state that you must have 24hrs free of duty once every seven days. So your "day off' may actually be down route and not in Seoul at all. Given that you have 11 days off per month, and 3 travel days it works out that you will work 16/17 days a month (February aside), so normally you get 2 days off during your roster pattern.
Korean Air's website,
Korean Air
search travel planning>flight schedules and look for flights operated by the A330.