The Open Space Conservation and Park District (OSC) shall include land in public and private ownership used for golf courses, tennis courts, nature preserves, hunting, parks, recreational areas and beach areas, provided that land in private ownership shall only be included in the OSC where approval for such designation is requested of the Village Board, in writing, by the fee owner. No buildings or other structures shall be allowed in the OSC, except buildings and other structures customarily related to park uses by special exception and subject to a site plan review and approval by the Planning Board and AHRB of the location of buildings, structures, driveways, parking areas, landscaping, fencing, drainage facilities and pavement specifications and approval by the Suffolk County Department of Health.