EGR valve hose and electrical connector location

1996 shouldn't have EGR. Dodge removed them on the Magnum engines when they switched to the OBDII system. They returned a few years later on some engines though.
If you have a late 1995 sold as a 1996 the EGR will be on the label under the hood, and you will have a tube coming from the passenger side exhaust manifold up to the EGR valve mounted on the intake manifold. There will also be a transducer connected to a vacuum line on the manifold and inline with the EGR to the throttle body.

That is what they used for the manifolds, they were the same parts they used on the earlier 3.9 and those had EGR. On the 1996 the system was eliminated. That is why those holes are not open and the outer ones are not threaded. There are a few other ways to tell, if the vehicle had EGR from the factory, it will be on the emissions sticker under the hood, and if it had EGR but someone removed it, the check engine light would be on as it would set a few codes. That plus not having the wiring connector or the manifold with the EGR tube or a plugged hole for it are others. If it was built without EGR you cannot add it as the ECM wouldn't be programmed to use it and it will set other codes because of that. Plus if someone has removed it and re-flashed the ECM to remove the codes and programming you would need to reverse all of that for it to work. As for the parts being available, they were used in other applications, just not yours.

Random shut off on a Dodge of that vintage can be fun to find as there are a few common reasons and you need to sort out the test results and symptoms to figure out which are the likely culprits. However that is becoming more common as all makes age, and unfortunately some of the newer ones are much worse. With a 1996 you don't have much of the extra electronics they have been loading them up with. Folks think having wi-fi or automatic braking is great, until those systems fail and cost the price of another car to repair.

If it still shuts off just return and ask as a different question please, we try to keep different issues apart so it makes the database easier to search and thank you for using 2CarPros