Hello,
To find out if your pump is bad, you need to test the oil pressure.
In order to test the pressure you will have to remove the oil pressure sensor and plug in oil pressure test gauge. Those test kits you can rent from your local auto parts store.
The oil pressure sensor is located on the lower right side, front of the engine. Below the power steering pump bracket.
https://www.2carpros.com/articles/high-or-low-engine-oil-pressure
The check engine light may or may not be related to the oil issue.
You will need to scan the vehicle for the code(s), that will help with the diagnostics.
https://www.2carpros.com/articles/checking-a-service-engine-soon-or-check-engine-light-on-or-flashing
Please let me know of any questions.
Thank you.
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Monday, September 20th, 2021 AT 2:55 PM