The details that have changed are synonymous with the alterations in your story-telling:
First you were given an iPhone. Later you stated you bought it from a "mate."
First it was damaged the first week of November. Later it wasn't even purchased until November 30th.
First you claimed it stopped working while you had it and the battery died. Later you unclearly presented it as though you "played with it" and then it stopped working while in your friend's possession the following day.
Those "mate" are all details, and changing ones at that.
But overall, you just have no case. At the very least Apple can just say that you cannot prove a non-relation between the damage and the functionality. Physical damage, no matter how minimal, is perfectly reasonable enough grounds to dismiss any claims for a replacement. The sale of goods act does not state that consumers who damage/break their products are entitled to free replacements or repair. Add to that the various unusual premises aforementioned, and you get a company which is not going to budge on their position.
Therefor, you, sir, are the equivalent of what a screw is as it gets turned into its destination.