I'm pretty sure the air volume on the "far" side of the sub cone does not need to be sealed, in fact the more volume the better; but I'll defer to Flint on that (I don't yet have an IB setup, but I've read his posts with interest as my speakers are against an upstairs internal wall, and there's a big area above the stairwell that would work perfectly for me). WRT the door between the listening area and the "far" side of the sub, there might be some "chuffing" under the door but again Flint would know better than I.
The vibration won't have an effect on your HVAC or gas lines, no worries there. On my furnace system (natural gas) a cold air return upstairs feeds the furnace, and there must be some kind of input from outside air too or the furnace would quit running (and my ears would pop). Hmm, I gotta go look and see how that works. (I have a BS in ME, but because I changed majors from Aerospace Engineering I never had a chance to take an HVAC course)