Income earned from Graphic designing and as illustrator

You need to register under GST if your aggregate supply exceeds Rs. 20 lakhs.

You need to obtain registration only if your turnover is more than 20 lacs in that year. If its less than 20 lacs, then there is no requirement to register and pay tax.

Even if you are required to register, you can take a LUT to export services without payment of taxes.