Custom 3.8l. What make the low coolant light come on for ten minutes and stay on when engine cranked?

Turn off the ignition of car.
Let the engine and radiator cool.
Refill the coolant to the required quantity with the approved type.
Wait until the coolant helps reduce the heat completely.
You should not see the light now.

code p 0128 refers to coolant thermostat--coolant temp below thermostat regulating temperature ===causes --mechanical fault
replace the thermostat
your problem may be low fuel pressure from a faulty pressure regulator
have the fault codes read professionally as the code you have is not related to your problem

the coolant light won't cause it to stall more likely to be a crank shaft sensor possibly only way to find out though is to replace it and see what happens sometimes these things don't throw up codes and would need the scan tool to be on the car when it stalls and won't start again the crank sensor cools down then will work again

Make sure there is no air in the system, take the radiator cap off and let the engine idle for half an hour, as the air comes out the coolant will go low, ad more coolant and then close the cap on also make sure the resevour bottle is at its mark.

I had a similar problem. Replaced head gasket, but low coolant light stayed on. My problem was air in the system. A flush and fill kit may work, however, I had a local shop do a "flush and fill" and the problem remained. What I did... With vehicle running, and radiator cap off, bring engine to operating temperature. Increase rpms slightly above idle until coolant can be seen moving in radiator (thermostat open). Add small amounts of coolant, keeping the radiator level just below overflow hole in cap area. In my case, after about 15 minutes at slightly above idle rpms, a large pocket of air escaped. I topped off radiator, installed cap, and let engine cool. Problem has not returned in last six months. *Note coolant is VERY HOT, and if rpms fluctuate, coolant will expel quickly from radiator. Also, when the air pocket escaped, coolant also sprays out. Use caution to avoid being burned.

is the security light flashing? If so try turning the key on for ten minutes than try to crank the engine. Try this three times if no start turn the key on for thirty minutes than try cranking the engine. It should turn over if not You may need a new ignition switch. Or key. I need more info after you try this.

sounds like low coolant to me

I had the same problem in my Subaru.It was low on coolant and ran just a little hot for a couple of minutes, and the "check engine" light came on.After adding coolant and resetting the light it never came back on.So, try resetting the light by unplugging the positive end from the battery for a few minutes, and then plug it back in.See if it will stay off, if not you may need to change the temperature sensor located near the thermostat on the top of the motor where the top radiator hose runs into the motor.

Ur coolant level sensor might need changing. If not, the circuit associated with the coolant level sensor needs to be inspected