More than a dozen people were killed the first day of the new year, including a host shot during an argument over when his party should end. At least three teen-agers were shot--two of them fatally--in the holiday violence, and in New York City police reported six homicides.

William Pujols, 30, the host of a New Year's Eve party in New Haven, Conn., was shot in the chest and killed early yesterday in an argument with a guest over when the party should end, police said. Calixto Rodriguez, 41, of West New York, N.J., was stopped by police and surrendered.

A Buffalo, N.Y., teen-ager was killed New Year's Eve when the 10-year-old boy she was babysitting allegedly shot her. Police said Frances Drozdzak, 16, was shot in the back by the boy who had taken a shotgun from a closet and loaded the weapon before firing it.

Another teen-ager, Michelle Chavez, in Lansing, Mich., was shot in the face by a juvenile and was listed in critical condition.

Six people were killed in New York City New Year's Day, including a man who was shot several times during a dispute with another man as a party was winding down at a Brooklyn social club. Christopher Archibald died of wounds received in that incident.