If you are looking for a compatible browser, you should download the .jar or .jad file rather than a .rar file, as the Nokia C2-03 cannot naturally extract RAR archives. Recommended Versions for Nokia C2-03
Connect your Nokia C2-03 to the PC via a USB cable. Select mode on the phone. Copy the .jar (and .jad if available) files directly into the E:/Other folder or the root of your memory card.