Info on the door is that they sandwich a compact foam sheet between the door, i used to reair one of the presses that did this, but dont know if it is for every door!! I guess it will be tho for insulation!
As sugested, i would go for a smaller hole, enlarge and use cavity fixings (or self tappers) and silicone!!
IF IT HAS A HOSE THEN IM YOUR MAN
BETTER TO BURN OUT THAN FADE AWAY!