When a file is modified 3 months before it was created it usually means that the computer clock has been manipulated. So it proves shit.
It is a bit like saying you were born after your first birthday.
I have files on my computer that were apparently modified before they were created. Defies logic, but that's how it is. Probably a Windows thing.
I suspect that modification time refers to when it was literally modified [on another file system or device], and creation time may refer to the local copy being created.