Student visas are for people who want to STUDY in the US. It’s not an immigration visa but a temporary visa and agents are on the lookout for “fake students” who really just want to emigrate/get a job. So, stick to your #1 goal: get a US degree in CS. What happens next is out of your hands and shouldn’t enter the picture for now.
You said you’ve not been studying in Korea for 6 years: have you been studying in the US or in another country?