I'm pretty sure the 96 DAS only engages when the car is locked with the remote as it does not have a RFID chip like the 97+ cars.

Does this car have an electronic injection pump? If not, feeding the shut off solenoid power should let the engine run. ( Jumper wire as an emergency bypass / light wired in for diagnostic purposes )

It would be worth a try to get the remote to work as it may reset / unlock the DAS.

While looking at the red window on the remote fob, press and hold the button. If the battery is good it will blink a few times. Another test is to use a video camera / phone camera that is sensitive to IR, point the red window at the camera and look for a flash.

The remote needs synced with the car. While pointing the remote at the car, press the remote button twice, put key in ignition and turn to the on position. This should let the car know that the remote belongs to the car.

We really need a diagnostic tree / wiring diagram to fix / bypass this.