Eevee questions? Ha, I got this, DJG. =)
1. Yes, your Eevee can evolve. The FEMALE one can evolve into Leafeon (Leaf Stone), Glaceon (Water Stone), Flareon (Fire Stone), or Umbreon (Moon Stone). Apparently, the female Eevee can also evolve into an Espeon, but I still haven't figured out how yet...