The couple's son weighed only about 4 pounds when he was delivered, neighbors and friends said. He died of extreme prematurity, the city medical examiner's office said.
He was buried Monday near his parents' graves, according to a spokesman for the Hasidic Jewish community. About a thousand community members turned out for the young couple's funeral a day earlier.
Word of Acevedo's arrest was met with bittersweet satisfaction in the Glaubers' community.
"It's a sweet bitter pill to swallow," said Isaac Abraham, a spokesman for the community. "It's a little good news that at least the man responsible has been arrested, but it doesn't bring any of the victims back."
He added that community members hoped Acevedo would face murder charges.
"We in the community hope that today is Acevedo's last day that he sees daylight for the rest of his life," he said.
Acevedo was arrested last month on a charge of driving while under the influence, and the case is pending. He was stopped by police after they said he was driving erratically around 3 a.m. on Feb. 17. He had a blood-alcohol level of 0.13, over the limit of 0.08, police said.
He served about a decade in prison in the 1990s for manslaughter after he was convicted of shooting a Brooklyn criminal whose moniker, 50 Cent, was the inspiration for rapper Curtis Jackson's current stage name.
How Acevedo came to possess the BMW is under investigation. The registered owner was arrested Sunday on insurance fraud charges related to the vehicle, but the case was deferred.
Associated Press writer Tom Hays contributed to this report.