Quick test for mastitis: squirt some washing up liquid into a cup with some goats milk (take both halves separately) and squish around with your fingers - if it all comes out goeey you have mastitis, if only foamy milk it is not mastitis. You will see what I mean when you do it.
Pen & strep would be the first choice for antibiotic, into the muscle. I do it on their hind leg, just whack the syringe in when they are eating their dinner, straight after evening milking. Dose will depend on weight of animal and the actual antibiotic your vet decides to give you. It will probably be a five day course minimum.
If it is not mastitis I would give her a Co/Zn/Se vit drench in the first instance.