I that my theory sounds crazy, but I don't know I have a feeling that Timothy Carter is Red John, and that there might be someone who wants to fuck with Jane's life there is something fishy, everything got cleared at the murder scene after Carter's death, his wife wrote a letter claiming that her husband was Red John, she committed suicide right before lisbon was going to integrate her. Here are some other clues that made me think that way.

1. Timothy Carter's voice sounds almost identical to the voice of the man who came to save patrick, he had a gun which means he knows how to shoot, when Timothy Carter met with patrick he had a gun too, which was not found at the murder scene ( WHY??)

2- He knew things about Patrick's wife and daughter that only red john would know.

3- His character fits the description of a psychopath, the way he talks, and his body language.

4- When Rosalind Harker went to the mortuary with Jane to check if Timothy's body the same man she met with, she acted very weird and shocked, then the said the didn't know this man! I don't know but her reaction was spooky.