Q: Check engine light came on and service stabilitrack came on in my 2014 chevy equinox are they related

Possibly, but the only way to know for sure is to download all the trouble codes and evaluate, in total, what is being reported. Also, a final "answer" might depend on what an actual diagnostic and repair reveals. Often faults in one vehicle system will create additional, what might be termed "spurious", codes implicating other vehicle systems but, in fact, there is nothing wrong with the "other" systems and thus the resolution of "some" codes resolves all codes. In your circumstance, the recommended service to get this investigated and resolved is a Check Engine Light diagnostic. If you request that service, the responding certified mechanic will get this taken care of for you. If you have further questions or concerns, do not hesitate to re-contact YourMechanic as we are always here to help you.