So I found out that in order for my all-in-one wireless HP OfficeJet J4680 to be able to print AND scan in Mint 12, like I was able to do in Mint 10, that I had to add the printer a different way than I normally did in the past. In the past I simply open the Printer GUI and added my wireless network printer that way and the printer and scanner was added flawlessly. When I did that in Mint 12 it added the printer just fine, but not that scanner. After further research online (man, the Linux community is amazing), I found out the better way to add the printer and the scanner was to run the following command in the terminal:
After, the printer and scanner were added and all is well.