Yves,
If you pump the brakes, that little bit will go down to the back. Once it has gone down the the master cylinder stop pumping.
Close the wheel cylinder bleeders and fill the reservoirs. Bleed the wheel furthest from the master, the right rear. The last dirty fluid will be the first to come out when you start bleeding the system.
I cant answer your question re the hand brake cable. I don't remember a grease nipple, but I think there is a pulley inside the housing in the photo and a little grease cant do any harm.
I am sure someone will have the answer for you.
Regards
Chris