@becki3 welcome :) I could never feed my first baby out in public and she wouldn't take a bottle (I'm ffing this time). I'd either just go out for an hour and a half ish and then come home or I'd feed in the car. I'd just drive somewhere, then quickly feed before going in but if she needed more I'd just say she was too distracted if people were around and then I'd nip out to the car. Would that work for you? I go to a buggy fit class at the moment, is there anything like that near you? It might work well because it's only an hour and babies stay in their buggies so don't usually need feeding (mostly they sleep).
My hair is also falling out - Freddie loves grabbing my hair and keeps pulling it out.
Went to the docs yesterday - he has conjunctivitis and has eye drops which have already made a big difference. In case it's useful to anyone else, gp said they can't prescribe anything for gooey eyes unless they are also red and swollen (which freddie's were). Pharmacists can't sell anything for babies over the counter but if you told them you were buying it for an adult they would and it's exactly the same stuff, chloramphenicol. I used to do that when my horse had an eye infection - gp said she'd done it for her dog!