There is no sure answer to this question. Typically any time through September/October is probably considered fairly early. Your best available option is to call the schools you are interested in attending, and ask them. Your question is exactly like the hundreds before you who have asked the same thing. There is no harm in asking on this website, but you will mostly get theories and conjectures from other Pre-Opts. Call the schools, tell them your situation and ask for advice.
Your real question should be about whether or not you will be invited for an interview, not accepted into the school, because the interview is what really matters.