When you first start the car it acts like it isn't getting gas & it misses then when you do get it going it runs ok but then when you shut it off & start it up again it does the samt thing & now it will shut off like it isn't getting gas while you are driving.

the only way to tell is to have the fuel pressure tested with a gauge when its running okay then have it tested when its acting up. this will show any type of pressure and volume problem that could indicate a pump problem. when and how long has it been since you changed the fuel filter. pumps will usually act up when they get hot or when you have just filled up on gas. they will also act up when you have driven a bit and shut the engine off to go lets say into a store and come out and try to start it. this is why a fuel pressure test is important.

Check the mass airflow sensor had the same problem on my bravada. Disconnect the electrical plug to it and see if that help.

yes fuel pump is dying (it's old ) it will finnaly give up the ghost some day soon then engine won't run at all

common problem pump heats up and shuts off cools off and runs again cyclic

this all assumes you have kept up on changing the fuel filter at reg intervals too

Get a haynes car book for your car and find out whats wrong by looking up the codes

You need to replace the radiator thermostat and water temperature sensor and flash out old coolant.

earth lead on gas tank loose /adrift,check fuses are clean and tight

carefully check all vacum lines for tight connections and cracks or leaks.

I'd pull the "idle air control valve " (located on side of throttle body near front) off, and use some throttle body spray cleaner on it & the port it came out of. Spray pintle (pointed part) good to remove any gunk etc. Re-install, it & try it. if it cures your problem for a while & starts to act up again, replace it.

for the cheapest TEMPORARY solution get some fuel injector cleaner and get on the gas fo about 5 mile at like 100 - 120 miles an hour thats what idid to mine last week hasnt wanted to die out since. good luck.

looks like you need a fuel pump. your current pump is dying.
and wont send enough pressure.