Can I have a panadol for my fever if I'm exclusively breastfeeding? Will the medicine 'pass down' to my baby during feeding?

Yes, paracetamol is safe for breastfeeding. Small amounts will be present in your milk, but it won't be enough to cause harm to your baby. http://www.nhs.uk/chq/Pages/2458.aspx?CategoryID=73&SubCategoryID=107