2007 Tahoe, my Stabilitrack & Traction Control lights have been on for many many months, now my check oil light stays on even as I'm leaving the oil change place. NOW my check tire pressure light is on for all 4 tires! Really! Any suggestions?

 

Welcome to the forum... Have you had it scanned for any codes? is the ST&TC lights intermittent or have you just ignored them for this long?
I would suspect a possible electrical issue, could be a wheel speed sensor is knocked loose or bad, the tire pressure could be that the sensor batteries have failed, all four at the same time would be odd but...
I'd start with the original issue and get that resolved the ST&TC issue, I suspect they are all related, the check oil could be a bad sensor but could also be related to a poor connection.
How does the vehicle do on starting, any cranking issues? The 07's are known to have some defective battery cables both positive and the negative...