Well, I think there might be a couple of issues here.
First off, were the new bylaws properly approved? At your special meeting on Aug. 23, only people who had been paid members on Aug. 9 were eligible to vote, because at the time of the special meeting the 14-day rule from the old bylaws was still in effect. So if anyone who had not been a paid member for at least 14 days voted on the new bylaws, those votes must be discounted. If the new bylaws would have passed anyway, even without those votes, or if no ineligible votes were cast, then (barring other issues you haven't told us about) the new bylaws were properly approved. If not, then the old bylaws are still in effect.
Assuming proper adoption of the new bylaws, the next question is when do (or did) the new bylaws take effect? The new bylaws should state this (either "upon adoption" or on some specific date). The old bylaws stop having any effect as soon as the new bylaws take effect. Whether you were VP before the new bylaws take effect or not until after does not matter; you are bound by the bylaws currently in effect.
But beyond the timing issue, I find it curious that nominations were taken to replace a president who resigned. Since the previous president resigned in June, under the old bylaws, what do the old bylaws say about filling vacancies, and specifically about filling a vacancy at president? If the answer is "nothing", then you, as vice president at the time of the resignation, almost certainly became president at that time. And unless the old bylaws say something different, you would serve out the remainder of the president's term, with no nominations needed or appropriate. The vacancy at vice president then should have been filled in accordance with the (old) bylaws.