Nick Reiner’s Attorney Alan Jackson Arrives at Rob Reiner Family Home, on Video

In a press conference Tuesday, Los Angeles County District Attorney Nathan J. Hochman came out swinging, saying the death penalty is on the table if Nick is convicted of murdering his parents.

As we reported … Nick was arrested on suspicion of killing his parents after they were found stabbed to death in their Brentwood, California home Sunday afternoon.

TMZ broke the story … Nick got into a heated argument with Rob at Conan O’Brien‘s Christmas party Saturday night, loud enough for others to overhear. Rob and Michele left the party after the fight.

Hours after the party, on Sunday afternoon, Rob and Michele’s daughter Romy discovered their stabbed and bloodied bodies at their Brentwood house. Rigor mortis had already set in, meaning they had been dead for hours.

Romy is the one who called the police and told them her brother Nick — who’d been living at the house — was “dangerous” and should be considered a suspect.

Despite living there, Nick wasn’t at home when Romy made the discovery. Instead, he had checked into The Pierside Hotel in Santa Monica around 4 AM Sunday, using his credit card.

The reservation was made for just a day, but Nick never formally checked out.

When the staff came into his room later Sunday morning, they found the shower “full of blood” and blood on the bed.