One problem related to differential unit has been reported for the 2007 Chevrolet Suburban. The most recently reported issues are listed below.
Stability traction control light keeps coming on while in motion. With major oil consumption problems. Just in regular driving I've had transmission, and rear differential work done fixed the problem for a few months now back again with flashing check engine light. Saying cylinder 6 misfiring. I've already sunk in over 4k in this after buying it last year in Dec. Of 2017. After reading comments this really should be a recall. With so many of the same concerns and complaints that have been listed.