No -- you need to print the 'Transcript Request Form' and have your schools send the official transcripts directly to CASPA, along with the form. It is 100% NOT okay for the schools to send them to you. It's right there in the instructions.
Your question about GRE or not has been answered around here somewhere, or maybe over at www.physicianassistant.net -- you should check there as well.
check aapa.org for the list of schools and do your research from there. if you're applying this year, you should already know by now what schools you're interested in and what they require.