Well this has been an adventure!
My advice now, find a good mechanic. Someone who can tell you what’s wrong. Not someone who says I only fix Japanese cars or I only fix American cars, someone who actually knows about cars.
Once you know what’s wrong, keep driving the car, it’s not a major issue, and order the parts online yourself. Bring the parts to any cheap monkey mechanic and they can fit them cheap.
Its korean, it shouldn’t take too long to get. I can get kpop albums from Korea to Dubai in 3 days if I was that way inclined. Most of my work is classic American cars and I can get most parts in 10 days, and America is further away than Korea. Don’t take shit from people. Be proactive