Mod plate will cover engine and gearbox.
So 2 codes.
Most places will charge $90-$100 for a code on the mod plate.
So that would be $200 for the codes plus roughly $50 for the road worthy.
The price you quoted is right, nothing wrong with it.
I'm pretty sure you need it...
I went through the process of getting a mod plate, except it was a 4agze into an AE92 SX.
And the SX didn't come with the gze variant.