BTW pox is a mosquito borne virus expected to run it's course in a few weeks. The scabs dry up and peel off. Humans are not susceptible to the best of my knowledge
I'm thinking the puncture wound is an injury sustained due to poor vision [scabs] and should heal on its own if not too serious. Giving him/her food and water in a safe cage or dog kennel type housing while it recovers from the virus would definitely improve it's chances. So kind of you to care for it!!
Poor little thing. I really don't know much about doves - we had one fly in and adopt us one day! But birds in general are very tough so if you can give it some tlc it has a good chance of recovering.
Are you in an area prone to ticks? It's just I found this site with symptoms for all eye related diseases in pigeons and doves. See if you can match what your poor bird has: http://www.pigeonrescue.co.uk/eyeproblems.htm