The state Medical Examining Board on Tuesday fined an East Lyme doctor $2,000 for lapses in care during cosmetic surgery and revoked the medical license of a Massachusetts psychiatrist who officials said had an inappropriate sexual relationship with a patient. Dr. Jeffrey Lane, a gynecologist who performed liposuction and laser treatments at a clinic in East Lyme, was also placed on probation for a year. State investigators found that he did not properly instruct his staff in how to sterilize equipment prior to 2011 and allowed an unlicensed employee – his wife – to perform laser procedures, records show. State officials also found that Lane had prescribed drugs to relatives or employees in 2009, 2010 and 2011 without maintaining proper records, reports show. David Tilles, a staff attorney for the state Department of Public Health, said Lane has already paid a $5,000 fine to the U.S. Drug Enforcement Agency for the prescription violations.