Yes, youll be fine. Apply to Schreyer, start working on these essays.
Now talk with your parents about costs, run the npc, check that they can pay out of pocket.
Run the NPC on Gettysburg, Dickinson, Lafayette, UScranton, Muhlenberg, Haverford or Bryn Mawr ( the two are big reaches for everyone but if your family makes 75k or less its likely to be much cheaper than psu.)