Yes, it's a Diana model 35. "Original" was the brand name they used in the UK. The gun is one of the all-time classics, still popular and beloved to this day.
Other brand names seen on Diana-made guns include: Beeman, Beeman's Original, Geco, Gecado, Peerless, Condor, RWS, Hy-Score, and Winchester.
If the gun was made after the early 1960's, there will be four small digits on the left rear receiver indicating the month and year of manufacture (e.g. "04 72" = April 1972).
I'm not sure what you mean by setup of the gun. If it shoots well and there are no obvious problems (missing breech seal, loose or missing parts, etc.) there may be little that needs to be done. The leather piston seal could probably use a few drops of silicon oil if the gun has not been used in some time.
This picture shows a Peerless-brand Diana 35 made about 1958 to 1960. Later versions of the gun have a cheekpiece, checkered grip, different sights, and a blued rather than silver trigger.
