I had to service mine last summer by cleaning it and greasing it up. Mine has a set screw on the handle that allows you to remove the handle. Then the black face plate comes off, from there you can remove the mechanism.
I can see the set screw on the first pic. Removing it is the first step into this riddle. Remember things are always built in this era to come apart without much prying or effort.
2003 Supra Launch " Gravity Games Edition"
Dodge ram CTD tow vehicles....