Is my chip a D2Pro?

I have bought a modded wii some years ago, but couldn't find out which chip I had. Today, I opened it up and found out it was a D2ePro, exactly like the one on this page:

Wii - d2cPro

Could someone tell me if it is a d2pro chip, and if it is, how do I update it?

Yes that is a D2Pro chip. To update goto the D2Pro website look in the resources section and there you can download the update dvd (1.8) burn this to dvd then run it in your Wii.