First, Welcome. Second, the AC control system is electric not vacuum. There are 4 motors that control air flow and water (for heat). One is a mode door motor and controls where the air comes out, def, vent, floor. It is located on the heater box (up and to the left from the accelerator pedal). The next two are air mix motors, they are located under the heater box. They control the air flow through the box and shut off the coolant from entering the heater core. (The heater box needs to be removed to get these out. They are also no longer available from Nissan). The last one is a vent door motor. It controls fresh/cabin air and is located on the right side of the car, attached to the fan motor box.
I see you added R134a to the system so I am assuming your son's system has been converted? Did you add it to the suction port? The suction port is the port that is on the large tube on the right side of the engine. The small tube is the high pressure side and NEVER try to add there.
If you suspect the air isn't getting through the system, then I would look at the ac box. There is a resistor block that controls the fan motor speed that is mounted to the side of the box. It is located on the passenger side, just under the glove box. You may want to remove the glove box to get to it (not hard). The pull the resistor block out and either get a temp reading on the expansion core or feel it by hand to see if it is cold.
Here is a link to the online Factory Service Manual. It has an AC section with diagnostic procedures you can run to help narrow down the problem.
http://www.300zx.co.uk/cgi-bin/manual.cgi