Slowing down for stop sign, lost everything, all power, including lights

Sounds like the vehicle is not charging you may need a new alternator get the car going with jump leads again and test the voltage at the battery terminals with a DC volt meter expect 13.5-14.5 if you get less than 13.5 your alternator is bad or wiring fault also check the alternator belt is tight.

Spark plugs or injecters are clogged.

check that the brake booster is not leaking vacuum when you have your foot on the brakes and upsetting the air /fuel mixture at idle. When coming to a stop use the hand brake to stop the car and if it keeps idling ok then it will be the booster.

sound the fuel pump. is there a bzzing noise in the gas tank when you turn the key

My first guess would be a wiring problem in the engine compartment. Something is breaking contact when the engine moves back and forth.
Could be something around the battery or alternator, or a ground wire.

can be anything,gas pump, crank sensor, if your check engine light is on you need to pull the trouble code or codes the will tell you what is wrong.

It could be car needs to be tuned up or alternator could have gone bad. Also check the battery. It could have gone bad.

Sounds like a Vacumm leak. Check all Vacc lines.

Try adjusting the idle and changing the fuel filter.

a number of things is ck engin light on