Shouting "Hell no, we still won't go," about 500 demonstrators -- high school girls afraid they may soon be drafted and men in their 30s who fled to Canada during the Vietnam War among them -- marched through downtown Washington yesterday to protest President Carter's plan to revive registration for the draft.

Orderly and spirited, the march was devoid of the anger and bitterness of the antidraft, antiwar rallies of the Vietnam era and attracted a large number of young women who -- for the first time in the nation's history -- are facing the possibility of military conscription..

Sponsored by the newly formed Washington area Coalition Against Registration and the Draft (CARD), the march attracted many local university students who have spent the last few weeks organizaing antidraft groups, debates and forums of their campuses as well as representatives from such traditional antidraft groups as the Quakers, the Young Socialists and the Communist Workers Party.

Gazing at the multitude of young faces in the crowd, marcher Jack Colhoun, who fled to Canada during the Vietnam War, said he felt compelled to help today's college students in their fight against draft registration.

"We members of the Vietnam generation wanted to try to find a way to bridge the gap between the '60s generation, which was so preoccupied with the Vietnam War and the effects of it, with the generation of the '80s now growing up without a memory of those Vietnam years," Colhoun said.

Colhoun, a freelance writer, said he, other draft resisters and some Vietnam veterans have recently banded together to organize a series of "teach-ins" on college campuses across the nation to instruct students on how they can fight draft registration and what they might do to avoid an actual draft.

But this draft resistance movement is bound to be different from the last, Colhoun maintains. "This time there's an antidraft movement even before any draft registration exists. This time there are a lot of draft resisters and Vietnam veterans who want to make sure the whole Vietnam War era doesn't begin again," said Colhoun, who was wearing a green Army overcoat.

Whether, like Colhoun, they had participated in antidraft marches before, or whether they knew of these marches only through old news reels or stories they heard from older brothers and sisters, the demonstrators

"I just see the country getting into war fever," said Alissa Sheinbach, 18, one of the 15 George Washington University students who participated in the demonstration.

Many of the demonstrators said they believe the crisis in Iran and the Soviet invasion of Afghanistan are simply not serious enough to go to war over.

"The real problems in this country are with the lack of jobs and the government's inability to control inflation," said demonstrator Hank Prensky as the marchers wound their way from Lafayette Park, across from the White House along Pennsylvania Avenue and F Street NW to the rallying point at Gallery Place.

Swelling over Prensky's words were the marchers' chants of "We won't go for Texaco" and "1-2-3-4, we won't fight Exxon's War."

Prensky is 33 and says he joined the Peace Corps and enrolled in graduate school just to avoid being drafted in the early '70s. Walking beside him were 15-year-old Thomas Terrence and 14-year-old Curtis Caudle, who said they and other students have been discussing the president's draft registration proposal at their school, Browne Junior High School in Northeast Washington.

Terrence said he decided to join the march because a draft, if it is enacted, "would break up my whole family." And Caudle says he is "scared there might be a nuclear war."

These fears were by no means limited to the two teen-age boys. "I'm scared for myself and my friends . . . I have a brother who is 19 and a sister who is 20 and I'm scared for them," said Cathy Bonaker, 21, a George Washington University student.

Like many of the women at the demonstration, Bonaker said she believes if there must be a draft registration, then women must be called upon to register too.

But 17-year-old Margaret Yaukey, a Woodrow Wilson High Schol senior called the registration of women a phony issue. "They're insulting our intelligence. It's like they're saying all those dumb females are going to jump up on the platform to go to war just because of equal rights."

The marchers drew little response from mid-afternoon shoppers in the downtown district.However, about a dozen members of the Collegiate Association For Research and Principles, a group its members said was "inspired" by the Rev. Sun Myung Moon staged a counter demonstration in support of a stronger defense about a block away from where the antidraft protestors were rallied.