J Tobias,
The "parameter out of range" will show up on shut down as you do have parameters out of range when the aircraft is not running.
Regarding Overlimit warnings, they should not be ignored. Go to the overlimit page to find which parameter is showing as being exceeded. There have been some false Nr over limits that are the result of a failed resistor, but these are usually showing a very high (480 to 490 Nr) when never being in an autorotation on that flight. On the other hand, an Nr exceedance of 445 or so during a steep turn or flare during an auto practice should of course not be discounted.
The VEMD may be getting to be older technology, but it was and is miles ahead of what came before it in terms of presentation of information and taking the "maybe" out of exceedances and the maintenance required because of them.
(I freely admit a bias towards the aircraft)
Regards,
Rigidhead