Check your engine mounts for shudder cause. Order some new ones and replace. Not a bad job, just messy. The oil you're losing has wiped out the mounts. Trust me I know from experience. Should have changed when the engine was rebuilt.
You really, I mean really, get the water temp, low engine oil pressure and low transmission oil pressure working. If the low oil lights don't illuminate when the main switch is turned to on, prior to starting the engine, you have a problem with, most likely, the pressure sender.
Bill