Running issues

[TRIND-FD]

My nephew is having some issues with his fd,
Stock apart from hks induction kit.  Put apexi in to sensor check,
Air pump removed.  
http://i182.photobucket.com/albums/x71/TRINDMASTER/7713a389.mp4

Car bogs if you put your foot down , drives ok if you slowly excelerate
Changed, fuel pump, filter, coils, leads, map and 02 sensor.
Noticed the radio. Illumination stays on with ignition off.

Iirc this happened the last time it was acting up .
Any help much appreciated.  
Don\'t get a lot of time to play at the moment