President Carter has reached out to the key House Republicans as well as Democrats, with his new campaign of personal appears in behalf of his proposed civil service overhaul.

With Rep. Edward J. Derwinski (R-Ill.) as their spokesman, key members of the House Civil Service Committee met with Carter at the White House late Thursday. They indicated to the president that they are "in general agreement" with the bill but reserve the right to oppose certain parts, such as proposed changes in the veterans' preference law and in labor-management relation.

They pressed Carter, about his agreement with organized labor to support certain changes in labor-management provisions in exchange for labor's support of the Carter package, Derwinski said.

The president assured them he would not support any broadening of the scope of bargaining beyond what is now included in an executive order, according to Derwinski, who added that the president said he is "personally reluctant to go even that far."

Carter had told union leaders much the same things, according to a spokesman fro the AFL-CIO backed American Federation of Government Employees (AFGE). Union leaders in turn had made it clear itthat they would continue to press for broader bargaining authority, the spokesman said.

"We aren't upset" by the reports of the Carter talk with the Republicans, he said, "but I think that does show that Carter is very worried about the bill."