No shutter in reverse sounds like motor mounts or possible cracked K member or chassis. All bolts there torqued properly?
With handbrake on, ease clutch out in low gear. Still shutter? Can you get it on a drive on lift and have someone under car while easing clutch out to perhaps observe what may be occurring?
Driveshaft too long, causing a bind as axle winds up as clutch is released?
