The fact that one of the incidents involved violence was a problem for producers, according to TMZ. Jones said police also gave false names on both occasions he was arrested.
On Wednesday, the Smoking Gun reported that Jones is wanted in three separate counties for failure to appear in a variety of criminal charges. The site reports that he was arrested in 2006 during a drug raid, was cited for one count open container in 2008 and in 2009 gave the police a false name.
His first arrest reportedly came in 2011 when he gave the police a false name to avoid being taken in on outstanding warrants for their arrests earlier. He was arrested again later that year for trying to use a different fake name to avoid arrest.
The vocal instructor 25 years old, of Pine Hill, New Jersey, Twitter Tuesday night that he would not be in the Fox singing contest he wrote in his official "American Idol" Twitter account: "Awww I did not b in the show, "but the message was later removed.
A Fox spokesman declined to comment to The Associated Press on the matter or confirm your tweet.
The so-called "gentle giant" was one of the best spectator selected 13 finalists of the show after the judges gave her a place among the best last minute of the season 11 of the 13 male semifinalists.
He was one of the last three voted last week after performing Stevie Wonder's "Knocks me off my feet", but still advanced to the group of top 12 singers.
"American Idol" contestants in the past have asked or forced to leave when the program believe that your work or personal history is a problem.
Corey Clark was disqualified for hiding his history of arrests during the second season in 2003. Frenchie Davis was also eliminated "American Idol" that year because of his previous appearance in an adult website.
During the eighth season in 2009, Joanna Pacitti shows the progress of the 36 semifinalists after the "Hollywood Week" but was later replaced. Pacitti released an album in 2006 and had ties to 19 Entertainment, which produces "American Idol" with FremantleMedia North America.
Chris Golightly was dropped from the top 24 semifinalists in the ninth season in 2010 because he did not disclose who had a previous recording contract.
By contrast, the singing competition allowed past finalists, as Antonella Barba of season six and season seven Hernandez, David will stay after racy photos that appeared to be Barba leaked online. Hernandez was revealed as he once worked as a nightclub stripper.