1. Any money sent by you to your parents is not taxable in their hands, whether you sent directly from Korea or route it through your own NRE account in India.
2. If you are Non Resident during the relevant financial year i.e. you stay in India only for less than 60 days (worst case scenario), your Korean income is not taxable in India.
3. please do not think of EVADING tax. There are legal provisions to claim credit for taxes paid in Korea if your income becomes taxable in India should you fail residency test.