Fuel injectors can be removed and placed in a test chamber which pumps some fluid through them and the spray pattern and flow rate can be observed. If unsatisfactory cleaning fluid can be pumped through the injectors which will remove deposits.

Can't help you with how to remove the injectors. Chances are though the fuel rail that feeds the injectors will be under some pressure. Techs carefully loosen a fitting -- with a shop rag to catch any fuel -- enough to let pressure bleed away and avoiding spraying the engine compartment and the tech with fuel.

But I'm not advising you to work on the fuel system. There is a real risk of a fire that if you are in a garage or even next to your house can spread from the car to the house. For fuel system problems/issues I have the car in and let a professional tech deal with the fuel system.

For addressing fuel injector and other fuel system and engine deposits I have had good experience using Techron which is a fuel system cleaner/engine deposit remover of some note. In one case all I did was fill up the fuel tank with Chevron Supreme 91 with Techron and before I had driven the car enough to require refueling the engine was running better.

Absent a fuel station selling gasoline with Techron you can buy Techron at the auto parts store. Use Techron according to directions on the bottle label.

However, I am a bit reluctant to advise you to do this with the engine CEL on and the engine manifesting untoward behavior.

So removing the injectors and having them checked/tested and cleaned will either address the CEL and untoward behavior or make it clear the problem lies elsewhere. But as I mentioned above this is a job I'd let a professional tech do.

 

This is not an endorsement but, in the past I have found BG 44K to be superior to Techron

 

BG 44K ingredients:

Techron ingredients:

The difference is PEA.

I've never used BG K44. I have used Techron and experienced a rather remarkable improvement in how an engine ran after not even a tank of Chevron with Techron.

Also, what I know at one car dealer service department all the tech tool boxes had a bottle of Techron yet the dealer parts department didn't stock/sell Techron. The techs all bought it at a parts store. They could get another fuel system/engine deposit cleaner through the parts department and with an employee discount and yet paid retail for Techron. I don't recall what cleaner brand the parts department carried.

If the OP decides to give a fuel system/engine deposit cleaner a try he can use whichever one he wants. If there is no improvement then it might be worthwhile to give the other a try.

Regardless which one he uses or if he ends up using both he can come back and report his experience.