Do doctors in the uk get paid per vaccine

YES.

The simple answer is yes.

If you ever her different then I suggest you point people in the direction of this

https://www.bma.org.uk/advice-and-support/gp-practices/vaccinations/vaccinations-fees-and-arrangements

https://www.bma.org.uk/advice/employment/gp-practices/service-provision/prescribing/vaccination

https://assets.publishing.service.gov.uk/government/uploads/system/uploads/attachment_data/file/790815/statement-of-financial-entitlements-amendments-directions-2019.pdf