These three achievements will most likely come by the time your reach Level 25. In case you lived under a rock, getting par means completing the hole in the same number of shots as the par number for the hole. A birdie is completing the hole in one less stroke than par, while an eagle is completing the hole in two less strokes than par.
If you are having trouble, try the Par 5 holes on the England Course. You should easily be able to make it onto the green in two shots. If you can just make that put, you will earn an eagle. Also, getting a hole-in-one on a Par 3 hole is also technically an eagle, though I am unsure if this will unlock the achievement, as "EAGLE" does not pop-up on the screen.