My brake light and my charging system light came

I would agree that it's the alternator. However, before you SPEND money, VERIFY that it's the alternator. Take/tow the vehicle into a Hyundai Service Center (dealership), pay the diagnostic fee. They will tell you EXACTLY what the problem is and what's needed to fix it (parts, labor, tax, time-frame, etc.). Afterward, you can fix it yourself.