I will be visiting the Cotswolds in the later half of June. Is there a general time that stores close on weekdays/weekends or is it inidividual to each store/village?
Hard to say - contact your hotel/b&b for the answer.
Actually it is a question that can be answered but it will depend on what sort of store you want to visit and which town or village you are in. Some villages still observe "early closing" which means that many shops in the village close for an afternoon during the week, often Wednesday or Thursday. Supermarkets are usually open much later than other shops - often 24 hours M-Sat in large towns, closing by 8 or 9 in towns. There are no supermarkets in most villages. In fact many villages have no shops, some just have a pub or three and maybe a village shop operated by volunteers. Many shops are not open on Sundays but those which do open have government restrictions. Small shops may open as they wish but many don't. Over a certain size - I think 3000 square feet but I may be wrong - they can only open for a maximum of 6 hours on Sundays. Even 24 hours open supermarkets can only open for 6 hours on Sun, usually 10-4 or 11-5. It would help to know which villages and what type of shopping you will want to do for a better answer.
They usualy close around 5:30:6:00, they might stay open one evening, that would be until aroun 7pm.