A federal judge gave doctors for John W. Hinckley Jr., who shot President Ronald Reagan in 1981, more flexibility to help Mr. Hinckley rejoin society. Officials at St. Elizabeths Hospital in Washington, where Mr. Hinckley is under treatment, sought to loosen restrictions on how far in advance they must alert the Secret Service when they take Mr. Hinckley into the community to attend baseball games, the theater and other events. Hospital officials were required to alert the Secret Service of any outings two weeks in advance, but the judge, Paul L. Friedman of Federal District Court, said the hospital need only give four days’ notice.