BERLIN, N.H., JAN. 27 -- Sen. Robert J. Dole (Kan.) returned to the campaign offensive today, lashing out at both Vice President Bush and Rep. Jack Kemp (N.Y.), two of his rivals for the Republican presidential nomination.

While speaking to high school students here during a tour of this state's snowy and sparsely populated north country, Dole questioned whether Bush could lead the country if he could not keep his cool with CBS News anchorman Dan Rather.

"I think more may have been learned from what. . . was picked up on the mike after the interview, about . . . whether you can stand up and take the pressure," said Dole, who had refrained from criticizing Bush on the CBS interview controversy. "If you can't stand up to Dan Rather, you're going to have {trouble} with Gorbachev and a few other people."

Dole was referring to reports that Bush made coarse comments to CBS officials after the contentious interview with Rather but while his microphone was apparently still working.

Bush was quoted as saying, among other things, "The bastard {Rather} didn't lay a glove on me."

Dole also continued his criticism of Kemp on the campaign trail today, saying in almost every speech that the Kemp commercials that attack Dole for his stand on Social Security legislation and oil import fees are a "distortion" of his record.

"We don't want to get into negative media," Dole said in Wolfeboro Tuesday. "Maybe we have to. We've got a whole list of things {on Kemp}." The senator did not provide specifics.

Although national polls show Dole trailing Bush, Kemp's New Hampshire position has improved in recent weeks. The most recent polls show Bush maintaining a strong lead in New Hampshire, with Dole second and Kemp within a few points of Dole, movement the New York congressman had not shown earlier even though he has campaigned intensely here.

Despite his jabs at Kemp, Dole suggested today that Kemp "might even be a good running mate for someone" and saved his sharpest barbs for his chief competitor here and nationwide, Bush.

At the school in Berlin, which Bush visited last week, Dole said that the vice president has only recently embraced education as a vital issue. "George Bush says he wants to be president of education," Dole said. "Well, where was he all these years when they were cutting billions out of education?" Dole asked. "Did he raise his voice? No. Did he go to the president and say you can't do this? No."

The Dole campaign had planned to use the three-day New Hampshire tour to present a broader issue-oriented message to New Hampshire voters and to strengthen Dole's position here for the primary that comes a week after what his campaign has said is a must-win contest with Bush in Iowa. And the Dole campaign invested the trip with extra punch by bringing Elizabeth Hanford Dole along for a rare flurry of husband-and-wife tandem campaigning.

Although the Doles normally campaign separately in order to spread the effort around, polls had been showing Dole leading by a wide margin in Iowa but struggling in New Hampshire. Campaign officials in Iowa yesterday suggested that Dole's lead there, in fact, may be narrowing because of the Bush-Rather confrontation.

"As a matter of fact, where she's been, I seem to do better in the polls," Dole said of his popular wife, who borrowed gear to ski for the television cameras at one stop.

"There are a whole lot of people who wonder who's going to run the country if he's elected," said Bob Coolidge, a Wolfeboro teacher who attended the Dole rally and said he has not decided which candidate he will support.

But Coolidge and others interviewed at campaign stops along the Dole trail this week expressed admiration for Elizabeth Dole. "She stood up there and half-smiled the whole time he was speaking," Coolidge said. "That's got to be deadly."