Pic 1. Air Bleed Solenoid, it's an emissions part. Not to counter anyone else's advice but I suggest you put it back unless you've done your homework and you know what it does and why.
Pic 2. Intake filter box assy. I see you said you got an adapter from auto zone... Keep in mind that the air flow meter you see sitting in front of the intake hose is REQUIRED or the vehicle will not run for more than a couple of seconds after you start it. I'm not sure if you can find an adapter to fit that at auto zone but that's pretty cool if you did. It should look something like the metal adapter pictured in this ebay listing:
http://cgi.ebay.com/ebaymotors/86-92...ht_4167wt_1085
3. Coolant fill cap assy... missing the cap and the little adapter that mounts on the filler neck.
http://www.mazdatrix.com/b8.htm
Also, I see in pic two that you're missing the radiator fan shroud. I HIGHLY recommend you replace it and also check to be sure that the splash gaurd is installed under the engine. These are both essential to direct airflow through the radiator and engine bay and heat is a major concern in these old rotaries. There should also be a two piece plastic cover over the gap between the engine bay and the front bumper, I can't see if it's there in the pics. This is also important for directing air through the radiator, if it's missing you can pic up a nice one piece replacement from corksport.
http://corksport.com/store/category/...rx-Engine.html