Morris Hatalsky scored an eagle-2 on the way to a five-under-par 66 that gave him a two-stroke lead yesterday in the first round of the $500,000 Bay Hill Classic in Orlando, Fla.

Hatalsky, winner of two titles in 10 years on the PGA Tour, hit a two-iron shot for the eagle on the 10th hole at Arnold Palmer's Bay Hill Club.

Mark McCumber had a 68 in what he called "a two- or three-club wind," and was second. Buddy Gardner, who made double bogey on the 18th, was alone at 69. . . .

In Costa Mesa, Calif., Pat Meyers, just getting over flu, shot a 70 on a wet, chilly day to share the lead with Alice Miller and Bonnie Lauer after one round of the $330,000 Uniden Invitational LPGA tournament.

Juli Inkster, the LPGA rookie of the year in 1984, withdrew from the tournament after she fainted and fell, injuring her nose, as she was preparing to leave for the course. X-rays revealed cartilage damage, no break; she was treated and released from a medical center. . . .

Defending champion Greg Norman and runner-up Mark O'Meara have committed to play at this year's Kemper Open at Congressional Country Club in Bethesda, from May 27 through June 2. Tickets are available, at reduced prices through March 15, by calling the Kemper Open office.