I have always filled the oil filter with oil before putting it in when it is a vertically mounted one. Supposedly makes for quicker oil pressure. That car is an easy one.
That's no a garage that's a car closet :). Don't worry about the plastic skid plate, removing it allows for better heat disipation and a thin sheet of plastic isn't going to help if you decide to go off roading in your Z. I always change oil hot because that's when all the crud is suspended in the oil. Oil filter is one half to one turn after the gasket meets the face of the moutning surface. Not all uga dugas are created equal.
Likes to do own work but doesn't have tools to do said work, ie oil filter wrench. Just messing with you bro but would make it easier. Definitely an easy access oil change car though. Drone work was nice too.