One or Two coolant flow valves?

Hello all, this is my first post (YAY!) so go easy on me.

I purchased a very well maintained 2006 Prius from LetGo. I'm very fortunate the previous owner took such good care of the car. I recently (two months ago) had regular maintenance done at my local Toyota dealer and in addition to basic oil changes, tire rotation and filter changes, I was told I needed new spark plugs ($400.xx). Okay fine. I was also told I need to replace the coolant flow control valves. I asked if this were an immediate concern, as I was quoted $790.xx in addition to spark plugs. I was told no. It could wait. I don't drive much, as I'm a stay at home mom but the car doesn't just sit. I live in a town where you NEED a car so we're mobile, just not as much as if I had a day job. Anyway, now the red triangle of death is on my car, and I hear what sounds like a fan/vent blowing from the rear of the car (passenger side in the back seat). I'm concerned it may be the hybrid battery at this point. Could the coolant flow valve cause this? Also is there one, or two control valves? Toyota is saying there are two that need to be replaced. The battery was tested last year by a reputable independent Prius specialist in my area and they claimed the battery was in good working order (at that time). I'm skeptical b/c Toyota has repeatedly tried to get me to trade in my Prius and I'm just giving them major side eye at this point as I know they want me to buy a new car but I refuse to part with my car. It has 172,xxx miles, I know it has more life in it AND it's fully loaded so I'm not sure what a "new" car would do for me at this point. Any help is appreciated!

Thanks!

 

I'm a girl. I'm convinced they took advantage. Chalk it up to the game. I honestly didnt know and they got over. I wont be going back though!

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Thanks, very helpful. I found a place near me with reasonable rates for battery replacement and I'm just crossing my fingers. Set the appointment. Hopeful for the best!

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What's the difference?

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Thank you for this. I intend to keep the car as long as possible so your recommendation for new is likely the way to go.

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UPDATE:
So the coolant control valve aas replaced earlier today and the coded pulled afterward were:
P3000
C1259
C1310

Thankful it's not the dreaded P0A80.
I was told to bring it in on Monday but in the meantime, drove the car around (locally) bc that's what charges the battery.
I loaded my son in the car for a few laps around the block and about 800 ft before we turned into my driveway the car began to coast. I put on my flashers and wonder why this is. By the time I turned in to park, the vehicle had picked up momentum again and I was going about 12MPH compared to zero while still on the street. It was driving fine up until then. So I'm going to take it in and see.

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Yeah, never again, my friend!

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Actron9125.
I took it for a spin yesterday, as the woman on the phone said to drive it as often as possible to keep it charged but it was weird after a while and didnt quite stall, more like coasted ..!?!?
Also the fan is back on so itll all come to light tomorrow when I take it to my Prius guy. Wish me the best, not giving up on my "Goji Berry"!!

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I appreciate your time and help, really! I took it to Prius Hybrid Repair in Annapolis, MD and their scanner picked up the dreaded P0A80 so it's being replaced.

It makes sense because I didn't start having issues until I started staying home and left my job back in February. The car would sit for days.

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