The car was built in 07/1992. Engine is M50B25, tranmission is manual and the transmission type is S5D 310Z.
1) You have to remove the door panels and check inside if there is anything dislocated.
Antway, it is very strange that ALL doors do not open. Usually one door makes trouble but not all at the same time.
*absolutely correct, there's a little red cable with hooks on either end connecting the door hinge to the latch mechanicals.
2) You have to change all wear parts such as distributor cap, distributor rotor, spark plugs and so on.
Is there a shop where they can connect your car on a diagnosis computer. That is the easiest to find the culprits. Otherwise it is just searching in the dark for something, especially if there is no good mechanic.
*You dont have a distributor cap, you have individual coil packs on each spark plug. I would recommend starting with spark plugs (get the stock ones, stay away from multi-electrode plugs and platinums) and coil packs. New air filter.
3) steering vibration: wheel balancing, and it could also be worn parts in the front suspension.
*Most likely your thrust arm bushings. Not a terribly cheap replacement if you have it done. You might try ordering Bruno's Thrust Arm bushing inserts (
www.racingking.ca)
4) gear stick: have to check the connections of that.
*Check your transmission mounts for wear (easy and cheap to replace yourself), Check the shifter bushings for wear, just shake the assembly from under the car and if it moves more than about 5-10mm, you should rebuild your shifter linkage.
5) That is difficult to answer if we do not know where the leaks are. Do you have a digital camera and can make some ppictures and post them here?
As for the carfax you asked me on private message: This does only apply for cars registered in USA, where dealers report all damages etc. to a central reporting system. Your car was apparently registered in Europe (it is an ECU model) and therefore a carfax info does not exist for your car.
Go to my website and then go to e34.net, there are many good repair tips, also for the front suspension, what could be wrong and what would have to be changed.
The aircon problem can be fixed by installing a bigger compressor, no problem at all. My one works perfect also in ambient temperatures of +/- 40 degree C.
Take yur time and read all the links and repair pages on my website. Takes a long time but it will help you. There are also links to other pages, and also wiring diagrams.