yep sounds like start clutch shudder, does it only happen on take off at roughly the same rpm?

noise from the rear will be your tyres or rear wheel bearings. the bearings are common to fail on the jazz.

regardless i would take it to a dealer to get it checked out.
a cvt flush shouldnt coz you any more than about $130, not $250-300 as kelvinthai says

seeing as the car has only done 35k you MAY be able to get it under warranty still as it's a common issue

what state you in? if in melb shoot me a pm