Welcome to MSO.
First of all, on the matter of whether you can get into OLY1, I'd say contact both the university's admissions office (
[email protected]) and the Faculty of Medical and Health Sciences undergraduate admissions office (
[email protected]), specify the exact papers you are currently doing and have done, and ask them if you are eligible for OLY1. I recommend emailing them because if they give you conflicting information again, you'll have the other office's words in writing when you ask them to clarify. I was not aware of Auckland disqualifying those with previous tertiary education (Otago certainly does), but I'm not very informed on Auckland's affairs, so please take information from them directly.
The other thing is that even if you get into OLY1, it will be highly competitive. I will be blunt, many people really want to get into med just like you, and among them are some of the most capable students in the country. In order to succeed, you will need to sit UMAT (and get a decent score), you will need a high GPA (you'll likely need to be a straight A or even straight A+ student), and you will need to ace (or at least pass) the interview. Bear in mind that you will need to outperform a lot of people in all three. (Or dramatically outperform most people in two of them.)
Do consider this: if you did OLY1, does that mean you will forfeit your place in AUT's med lab sci? If so, if you did OLY1 but didn't end up getting into med, what would you do then? Since there is a graduate entry option (and once you have your degree you can apply for graduate entry at both Auckland and Otago), I feel I should urge you to consider: is it worth the risk of going to OLY1?
Once again, many people really want to get into med like you do, and quite frankly, many (I daresay most) of them don't make it. As such, I think you should think about it carefully, and make sure you have a backup plan before you embark on the pursuit of med. If taking OLY1 means you'll be left without a plan if you don't get in, then do consider graduate entry after completing your med lab sci degree, because then you'll at least have a confirmed career ahead of you if you don't get in.
I'm not even going to go into whether you're wanting med for the right reasons. Suffice to say that people generally have misconceptions about medicine, which, even if you get in, may not turn out the way you imagined, so do give that some thought, too.
Medicine is a significant undertaking, so please, do think about it carefully.