The name "Vulcan's Forge" is from the TAS episode "Yesteryear" by D. C. Fontana.
Yes, but it also dates back to a fanzine from 1969. IIRC, Fontana has mentioned that in interviews. Her use of it in TAS was a homage.
It's possibly from the zine "T-Negative", which contained "the earliest fanfic stories to feature Vulcan (not just the planet but the culture)": the Kraith shared universe. The earliest were written by Jacqueline Lichtenberg beginning in 1969... and 50 authors contributed over its publication.
http://fanlore.org/wiki/Vulcan