Hi Anji, no it doesn't have the rear friction plate, but it does have one plain plate that is thicker than the others, and that goes at the back of the stack (important).
The parts book says five friction plates and five plain plus the one thick plain one, but I found four works fine and five of each is too many, as I couldn't get enough spring preload.
I've never used the cover partly because I initially was experimenting with plate numbers, and wasn't going to be stuffed doing the 12 nuts as well as the rest of the procedure, and it works fine without it.
There was some discussion about the pros and cons of that not so long ago.