Rough shooting is generally understood to mean walking through a game holding area in a line with up to 7 other hunters spaced about 50-75 yards apart with a number of dogs and possibly some beaters flushing game in front of the hunters. The game is then shot at whilst flying away from the guns or on some occasions coming back over the line. The shooting can be on farmland, in woodland, wetlands or on moorland or a combination of these. The quarry is usually what you call ringneck pheasants but other game species possible are partridges, duck, geese, pigeon, woodcock, snipe, hares and rabbits plus on some heather moorland you will be after red grouse and just possibly blackcock.
The cost varies according to the expectation on species and numbers but you can get decent rough shooting for £100 - £150 per day and you might expect to get somewhere between 5 and 20 shots, how much you kill is entirely up to you and your shooting. Days for grouse might cost a bit more and might involve using dogs like setters or pointers that will freeze when a covey of grouse is located and indicate where the birds are, they are then flushed by the dog on command and shot at whilst flying away.
Automatic shotguns are legal in the UK but not usually encouraged or used other than for wildfowling or pigeon shooting and I think are limited by law to three shots so a standard 5 shot auto would not be allowed.
If you come in September the number of quarry species and shooting on offer will be a be more limited as pheasants are not in season until 1st October but not often shot at until towards the end of the month to allow juveniles to start to fly properly.