Wow 34 views and no reply I guess as always I have to welcome the new guy.
You can perform the diagnostic your self or have a local Infiniti dealer to check and see whats wrong with TCS (Traction Control System), to check your self:
http://www.nicoclub.com/FSM/Q45/1994_Q45/br.pdf
The TCS button only disables the TCS so by having it already disabled right now (Because both TCS OFF and SLIP lights are illuminated).
The car has a VSLD (
http://en.wikipedia.org/wiki/Viscous_coupling_unit) So both wheels are supposed to spin when going straight.
What does the CD changer say on the controller?
The CD changer and the TCS switch may be together on the center console but they are very much apart from each other.
You can read this on removing the center console:
http://www.nicoclub.com/FSM/Q45/1994_Q45/bf.pdf but there is no reason because the TCS button and CD changer controller are good its just that the CD changer may be bad and there is some thing else wrong with TCS.
I would read this about the rough idle:
http://www.q45.org/roughidle.html
And of course read the rest of the FSM AKA Factory Service Manual:
http://www.nicoclub.com/FSM/Q45/1994_Q45/
Welcome to NICO.