Strange MFD Behavior

Background: my car is an 04 Prius approaching 16k total miles. I recently bought it used; it's in outwardly great condition, and has shown no indications of serious problems at all. I have seen no warning lights displayed "in anger." Overall, car seems to run beautifully, and per my MFD, I'm averaging 48.0 mpg.

Except for two anomalies (to my eye, anyway). The first: my morning commute is ~10 miles, the first and last two miles are surface streets, the segment in the middle, freeway. Coming off the freeway, I approach a series of traffic signals, in a pretty high SOC (green or top blue). As I run between lights, keeping up with traffic, the ICE usually kicks on. As I lift off approaching the next red, the MFD says the ICE has shut off, just as it really should. But as I come to rest, I can still feel the ICE running, and maybe 5-15 sec later, it finally shuts off for real (unmistakeable, as sometimes, it's not very smooth doing so). Can anyone tell me why the MFD says the ICE is off ~200 yards and ~20-30 seconds before it really is?

Second one: again coming to a stop, but more randomly, maybe 1-2 out of 10 stops, despite being at a complete rest, foot securely on the brake, no doubt I'm not rolling at all, I still get yellow arrows that make it look as if the MGs are still moving the car forward. When this happens, it won't stop, unless I actually put the car in neutral or park, or shut down the hybrid system totally, of course. When this happens, again, the arrows only go dark, as they usually do (and as I would think they always should), if I select N or P; otherwise they just keep flowing until I start driving again.

I'm well inside wty, and the car generally functions as intended (pt A to pt B with efficiency and fun), but still, I'm really hoping my car doesn't have developing "neurological" (or perhaps psychiatric ) issues. Anybody got any thoughts or suggestions about what's going on here? TIA.

 

Thanks guys, I appreciate the quick responses. Perhaps I just need to softly chant, “It’s a Toyota, it’s a Toyota, …†for a while to help myself relax a little. Glad to know that things are OK. So, Dr. Fusco, what would be the proper term for hypochondriasis, when it applies to a motor vehicle instead of one’s body???