Lets not leave this all on Jake, there is a whole list of characters who have done exactly the same thing.
JTF - the screaming whinning fits about the press (someone remind me again how much this case has been in the news), the accusations of Meredith even the theft of jewelry by LF - you name it, JTF made the accusation as long as Jason wasn't included. Problem is the stories changed every time new information came out.
Then lets see - remember the oh so honorable gojo who declared he would not answer posts unless you followed his rules - and then how many gojos were there 3, 4, heck I lost count. And then his vile excuses for why he decided to relay the fact that MM was pregnant - that was really the low point for gojo and mates.
Then there is Johngo - lots of changing stories and accusations there as well with nothing to back it up - no search warrants naming possible other suspects, nothing.
Then there is DJK who claims he knows nothing but yet expects you to believe every word he says. Heck he even has conversations with magistrates - he's gotta know what is happening - right?
So lets not blame Jake for all the crazy stuff - he is not alone.