An excellent lathe.
The centre comes out if you slip a bar into the opposite end of the spindle and tap it. If you can't find a suitable bar then two 6" nails will do, with their heads filed off.
The left face plate is left handed thread. To get it off you need the other face plate on the inboard end and you work one against the other until they are both loose. They need fibre washers in place or it can be much more difficult.
I do it by putting a nut and bolt through one of the outer holes in each plate. Then hold one face plate and turn it sharply so that the nut in the other hits the edge of a bolster chisel or similar, which you hold in place.
Make sure you are knocking it the right way, bearing in mind the opposite thread directions.
Might take a few goes and a squirt of WD40, touch of heat, etc
Whatever you do - don't attack it with Mole grips, Stillsons, hammers, wedges etc you could mark and damage it.
If you haven't got the inboard faceplate I'd strongly advise buying one first, before you attempt to remove the left hand one, or it could be difficult.