You're off by a day.  Israel attacked by air and ground on June 5th.  Syria retaliated on June 6th.  Had there been skirmishes between Syria and Israel in the Golan Heights?  Yes.  For a long time.  They were perpetrated by BOTH sides.  Even Moshe Dyan admitted his part in trying to provoke Syria by ordering his men to fire on Syrian farms, etc. to provoke the Arabs.  But thank you.