Background "static" on side of TFT screen?
It will be a problem with the library you are using. Not all screens that use the same CoG are wired in quite the same way. Often a CoG that supports a larger number of columns is used with a screen that doesn't have that many columns (132 in this case), and the actual screen is placed at an offset within the available columns, and it's up to the manufacturer of the screen where that offset is.

So the library has to initialize the CoG with where the screen actually is within its physical column range, and your screen is different to what the library is expecting.  Looking at the TFT library bundled with the IDE most screen configurations appear to impose a couple of pixels offset in the columns, which you don't want. 

I would suggest investigating other TFT libraries, such as UTFT, which may give better control over screen parameters.