Hemostats are good for inserting the nozzle back in -- try and scrounge up a pair. Put a dab of grease on the bottom gasket to hold it on the nozzle and ease the nozzle in. Try not to drop it.
Maybe practice once without the gasket on the bottom just to get the hand of easing it in on an angle. Then put a dab of grease on the screw to hold that gasket on it and put that in. Don't worry about the grease clogging things up, it won't.
When you're done, count your gaskets. Just like sponges, you don't want to leave one in the patient. All should be accounted for.