I can't help you with the Neosporin. It's not something I've used.
Iodine.
https://www.amazon.co.uk/Gold-Label-Iodine-Spray-500/dp/B007YZMWKA/ref=sr_1_9?crid=1PKZ2D4GRNWIF&keywords=iodine+for+wounds&qid=1665142299&qu=eyJxc2MiOiI0LjgwIiwicXNhIjoiNC4zMSIsInFzcCI6IjQuMjkifQ==&sprefix=iodine,aps,99&sr=8-9
It's 3% Iodine, the carrier being ethyl alcohol.
You can get small bottles of higher strength Iodine on the internet.
For pain.
https://www.vetuk.co.uk/pet-meds-pr...21_744/metacam-oral-suspension-for-dogs-p-148
I used this in Spain for many years. It works and the chickens seem to actually like the taste of it.
Antibiotics.
There are vets that will prescribe antibiotics without seeing the patient. It will still cost you a consultation fee though; I've been quoted £50.00.
There are fish antibiotics that can be used. I haven't had to go that route yet.
I'll be honest and write that I rang up the doctor, said I had a sore throat and got prescribed amoxicillin over the phone. When it comes to a toss up between being honest with a doctor and possibly a chickens life, I didn't struggle long with the morality aspect.