Welcome.
Yes the ED30/Pirelli share the 230bhp engine which is almost the same as S3 engine.
Typical stg 1 remap is approx 300 bhp
The funny square box you describe sounds like either the REVO select switch or the GIAC flashloader.
These are just two possible remap companies for the Edition 30.
Check out the forums for data to help you decide on what you are after.......each is subtley different
REVO
GIAC
Superchips
APR
Richter
I chose APR , others have their own preferences on here too.
if you have DSG you can even get upgrade software for that
Come along to the Superchips RR in June
(std or remapped) to see how its running