Much of this us probably above, but just trying to make it easier to read. All of course opinion from experience so don’t sue if its wrong. 
1) Most trailers have the 2 buttons. Ignore the shunt (black) one and leave that for lazy shunters as it can be quite dangerous. It releases the brakes using the air left in the system.
Best to use red airline for moving trailers around the years, and both airlines for loaded ones. Remember red only releases the trailer brakes, it doesn’t apply them.
2) By 2 levers I assume you mean the tractor unit 5th wheel leavers? Big one releases trailer as you know, small one allows you to move the 5th wheel position.
Never done this myself and suspect many are jammed, so personally I wouldn’t worry about it. If you don’t get it locked back in, that could be very bad.
3) Most trucks will be that height, but some do seem to get slightly higher if the midlift wheel is up. Scanias have the rep for this, but have also seen it on a DAF. I have also noticed some Renault’s seem higher.
Personally I would always assume the trailer is 3-4" higher than stated. Allows for loaded / unloaded height, bouncing etc when encountering bridges etc.
If you do measure, make sure its a empty trailer as a full one will push the suspension down even when levelled.
4) Dropping trailer, I would pull out until you get the click, then drop suspension all the way and pull out. If its a full DD, expect it to bend quite a bit and prob won’t fully clear the trailer, but saves the massive clonk.
Some will drop it all the way and pull out, but it doesn’t always want to disconnect. Tends to get stuck and launches you forward when it finally lets go.
5) Coupling - first thing is check trailer brake is on!
I drop all the way, slowly backup until front of trailer is between 2 sets of wheelarches, lift suspension until you see trailer raise then slowly backup.
- If you don’t see it rise, get out and look.
- Don’t ram backwards, you get the idea of how much.
If trailer isn’t on level ground including on a slope, get out and check 5th wheel is level. If its not, it can make life harder and requires more getting out and looking.
Then quick tug test, but as mentioned, don’t burn tyres out. Then put in the clip. If clip wont go in, start again.
To check connection, go under the trailer and shine a torch up its bum. You should see the kingpin fully sitting inside the 5th wheel and the bar right across in front. If not, disconnect and start again. Juddian taught me this and its saved me a few times esp on bumpy ground.
6) Internals go one per pallet usually but remember they only work for upto 400kg. If you have spares then more is better, esp for barrels and 25L tubs. Don’t be afraid to use ratchets even below 400kg.
Oh and all the people who’ve been doing this since the ark who’ll tell you they only ever use internals. Yeah well, they can get stopped and pay the fines. Your load, your responsibility.