What would cause my check engine light and slip light to come on?
The check engine light illuminates when the engines performance cycle in compromised and a specific problem is recorded.
The Slip light: An image of a car sliding tells you that either Traction Control or Vehicle Dynamic Control is active, telling you the car is close to its traction limits. If it stays on, it indicated the system is deactivated.
The only way to know would be to pull the check engine light codes. This requires a scan tool. However just about any local auto parts dealer will perform this task free of charge. Also you may want to look at this vehicle still being under warranty.