You are not a non-EU student. This section is afaik, usually used to prove that the student has a sufficient level of English- some cert or other. There is no personal statement, don't supply one. Your CAO number is assigned to you after you apply- it will come up directly after and the sequence is determined by who gets their first. It should start with 10 this year, weird. Trinity keeps this as your student number all through college. CAO is the middleman, TCD will only know of your existence and contact you AFTER you accept the offer that the CAO have ensured you have sufficient grades for. They will not know or care of anything else you apply for.
You can apply online (highly recommended) or by posting the CAO form. The deadline is Feb 1st- do your best to apply before January 25th or so- it ALWAYS crashes in the panic of the last few days. Which is hilarious because you can change all of your courses for free at a later date anyway, doesn't matter initially what you put down. It might seem like a cold impersonal system where you are essentially just a number but there's feck all unis (just 7) and other colleges IT's etc. in Ireland and it works very well in a small country.
There IS a round zero (end of july) for people who already have their results. You might get an offer then, but don't count on it. Otherwise, Round One isn't too far off from that- the Leaving results are out Wednesday the 15thish of August- and Round One the Monday after.
There really isn't personal information on the CAO form- name, school, exams being taken blah blah- I would think but could be wrong that if they want to know why you already have your results it could be to do with determining whether you're eligible for free fees (if you're a drop-out, you're not eligible). That doesn't really come under the CAO's business though-unless they pass it on? Not sure about that one.