When Georgetown University's football team trots onto Kehoe Field Oct. 20 for its homecoming game against Johns Hopkins, it might be the only time the Hoyas play at home this season.

Because of recurring problems with the running track that surrounds the football field, Georgetown has been forced to move the site of its first two home games to their opponents' facilities. The other two also are in jeopardy.

Last Saturday's 42-24 loss at Ursinus was the first transplanted game. This week the Hoyas play at Gallaudet and the Sept. 22 game against Dickinson already has been switched to Carlisle, Pa. That leaves two home dates: Oct. 6 vs. St. Peter's and Oct. 20 against the Blue Jays.

"Our guess is October," Hoyas Coach Scott Glacken said. "They've been fooling around with the track for three years and they can't seem to fix {the bubbling and cracking}. It makes it a lot tougher, but the kids are doing well, and we understand."

In the meantime, Glacken's squad has been practicing on the baseball field. The school's track team has moved to Episcopal High School in Alexandria for practices and Georgetown Prep in Rockville for meets.Big Scorers

Radford's Dante Washington scored six goals last weekend in the Highlanders' 15-1 soccer victory over Maryland-Eastern Shore in Radford, Va. Washington, a sophomore from Oakland Mills High School in Columbia, Md., also set a school scoring record with his 41st goal (in 31 games). He also has 30 career assists.

"Six goals, touchdown," Radford spokesman Mike Ashley said. "We're going to promote him for the Heisman instead of the Hermann."

Washington, a member of the under-23 national team, needed five goals to tie the record, and he didn't leave the game until it was 13-1 with 15 minutes left. In Radford's defense, the Highlanders intentionally pushed shots directly at the goalkeeper on two breakaways.

Washington has 11 goals and seven assists in five games this season to lead the nation in scoring. Radford will play at Howard on Sunday. . . .

American is off to a 3-0 start, thanks largely to senior midfielder Jon Hall from Watford, England, who scored three goals against Lehigh Saturday and had an assist Sunday against Towson State at AU's Reeves Field.

With time running out in the 3-0 victory over Lehigh, Hall scored twice in a 73-second span. Nearly three years ago on the same field Hall set a collegiate record with two goals in nine seconds against George Washington.

Freshman Eric Leibin has two goals and freshman goalie David Urbach has three shutouts for the Eagles, who have 20 freshmen and sophomores on their 28-man roster.Streak Goes On

The University of North Carolina women's soccer team stretched its record unbeaten streak to 100 games Sunday with a 3-1 victory over North Carolina State in Raleigh, N.C.

Mia Hamm, a sophomore from Lake Braddock High School and a member of the U.S. national team, scored all three goals. She has eight this season and 29 in her career.

The Tar Heels, 5-0 this season and 211-7-8 since 1979, will play host to Maryland on Saturday and will play in Fairfax Sept. 30 against George Mason. Off the Beaten Track

Three Mason freshmen finished in the top 10 at a cross-country meet last weekend. Rob Lotwis (Baldwin, N.Y.) finished third, Rich McDonald (Fairfax) was seventh and Mayura Bogollagama (McLean) 10th as the Patriots defeated American, Catholic and Mount St. Mary's. Catholic's Tom Caffrey was first in 26 minutes 55 seconds. . . .

Cassie Ensley, who averaged 18.6 points, 4.8 assists and 3.4 steals per game for Einstein High School last season, has signed to play basketball at Longwood College. . . . Jill Marple from Mount Hebron High School is the starting goalie for Temple's field hockey team.