Going to A&E and waiting there also means you're losing 4 to 6 hours.
111 you just get some robot asking you a never-ending list of inane questions before someone tells you to either self-care at home or go to A&E.
A pharmacist should be able to administer the supplies they sell, particularly wound dressing and care. It's a requirement in some other European countries like France (where pharmacists are doctors), but in the UK the reality is that most are unable to do so.
Pharmacies provide much more than just medicine.