Even if one has to include the original license and notices with the new version, the original license and notices apply to the portions which were present in the older versions. The new portions added to the software after the license change must be used only as per the new license. MIT, BSD and Apache licenses don't forbid you to use a new license to your own derivative work.
Everything you just wrote is true, but it's not clear why you felt the need to spell it out, especially right here. (No one has said otherwise. No one has said anything that could be mistaken to mean otherwise.)