The most noteworthy moors are situated in Cornwall , which is the most south western county in England and Yorkshire, which is north of central England. They are generally bleak and windswept with low scrub such as heather and bracken ; trees are a rarity. Small streams and rivulets criss cross them. The moors of Cornwall sustain large quantities of deer ( as do the moors of Scotland, but I doubt that your ship berthed there ! ). The Yorkshire moors are known for their grouse shooting opportunities.
I would suspect that your ship berthed at either Devonport or Portsmouth since both are long established deep water naval dockyards and harbours. Access to Cornwall is easy since it is the adjacent county ( which also has ship docking and repair facilities in Falmouth ).
It is likely that any " animals " you rode after were the deer on the Cornish moors, or possibly those of Devon, which though smaller are in the same general area as the first two harbours I referred to. Of course, the " animals " you rode after might have been the wild
Ponies of Dartmoor ( also in Devon ), but I expect that you have recognised them as being equine in nature.
Pimms Cup is a deliciously refreshing fruit juice based drink generally drunk by the middle and upper classes here in England. It also has an alcoholic content of varying strength, hence the Pimms numbering system which indicates its alcohol content. N.B. It should be approached with care though, since it is frequently strengthened by ones host with gin, brandy, vodka etc. I speculate that it is the English equivalent of a mint Julep, Long Island iced tea or a Mojita. With plenty of ice, it is a much favoured summertime drink in England.