As of my knowledge cutoff in September 2021, Alex Murdaugh had not been charged or arrested in connection with any murders. However, he did admit to a scheme to stage his own shooting in order to receive a $10 million life insurance payout for his son. He was charged with insurance fraud, conspiracy to commit insurance fraud, and filing a false police report in connection with this incident.
In court documents, it was alleged that Murdaugh had instructed a man named Curtis Edward Smith to shoot him, but to make sure he didn't die. Murdaugh then allegedly drove himself to the hospital, where he was treated for a superficial gunshot wound.
It is important to note that these charges against Murdaugh are unrelated to the murders of his wife and son, and it is not clear at this time if he has been implicated in those crimes. The investigation into those murders is ongoing, and it is possible that more information may come to light in the future.