President Carter capped a restful Easter weekend with his own private sunrise service for family and relatives today. He later told a Sunday school class at the First Baptist Church here that it was "probably one of the best sunrise services I've ever been to."

"Rosalynn prayed," he told reporters. "Amy read the Bible and Emma [Langford, the mother of Jack Carter's wife, Judy] preached the sermon."

Each of the participants talked about what Christ's death and resurrection meant to him or her, Carter said. ". . . It gives me a sense of humidity that my own shortcomings are more significant because I'm President . . ."

Carter could have attended a community sunrise service at the nearby fairgrounds, but word came late Saturday night that he would stay home instead.

He told the Sunday school class that the people who come to see him whenever he goes make worshiping difficult at times.

"We have a little bit of a problem worshiping as a First Family," he said. ". . .. It's almost done severe damage to our problems there. I hope you will pray for them."

The President carried his 20-month-old grandson, Jason, into the First Baptist Church in time for the 10 a.m. Sunday school - which was all white and all male - and as is his custom stayed for the 11 a.m. church services.

He said nothing during church, but told the Sunday school class heprays for guidance before major decisions, "and my strong Christian beliefs and the fact that I do pray for guidance does stand me in good stead . . . I pray every day that I won't disappoint you."

He returned to Washington this afternoon.