Yup, first one that came to mind was Google
Sounds like you have a chip, you've been boosting over 25PSI, you installed a DIY intake and messed with the sensor in the stock airbox, and have a crappy idle. My Sherlock Holmes voice is telling me you were in there doing some sort of mod to the IDM.
Seriously, googling each code will allow you to read up on the issues and all but the last are pretty easy to become an expert on.
P1670 sounds like a communications error. Probably a harness issue. Did you try to install a resistor mod somewhere?