TWO GO AROUNDS; TWR PLANNING.

Narrative

AFTER BEING CLRED FOR A VISUAL APCH AND THEN CLRED TO LAND TWR. ADVISED ANOTHER ACFT TO TAXI INTO POS AND HOLD. ON APPROX A 2 MI FINAL TWR ADVISED US TO EXPECT A POSSIBLE GO AROUND. WE THEREFORE MAINTAINED ALT AND COURSE AND OVER THE THRESHOLD OF RWY 1 WE WERE TOLD 'GO AROUND; ENTER LEFT DOWNWIND RWY 28; CLRED TO LAND.' ON APPROX A 2 MI FINAL FOR RWY 28; I OBSERVED AN LTT ON SHORT FINAL FOR RWY 1. I ASKED MY F/O TO VERIFY WE WERE CLRED TO LAND. TWR CONFIRMED WE WERE CLRED AND THEN ASKED IF WE COULD HOLD SHORT OF RWY 1. AFTER ADVISING TWR IT WOULD BE CLOSE; WE WERE INSTRUCTED TO BEGIN AN IMMEDIATE GO AROUND. WE ENTERED LEFT DOWNWIND FOR RWY 1 AND LANDED NORMALLY. ON THE FIRST GO AROUND TWR WAS IN ERROR; BY TRYING TO HURRY ANOTHER DEP. ON THE SECOND GO AROUND TWR MADE A TERRIBLE AND POSSIBLY FATAL ERROR IN ALLOWING 2 ACFT TO LAND ON INTERSECTING RWYS. NO WARNING WAS GIVEN TO EITHER ACFT AND A CONFLICT WAS AVOIDED BY PLT AWARENESS ONLY! ONCE AN ACFT HAS BEEN CLRED TO LAND; THAT RWY IS HIS ALONE AND HE SHOULD BE GIVEN PRIORITY. IN THIS CASE; THAT RULE WAS BROKEN TWICE. IN MY OPINION; TWR CTLRS NEED TO BE CONSTANTLY AWARE OF ACFT FLOW AND GIVE PRIORITY TO LNDG ACFT. THIS CASE COULD HAVE BEEN A VERY DISASTROUS CTLR ERROR. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING: REPORTER AND F/O WENT IMMEDIATELY TO DIRECTOR OF OPS WHO WAS ON FIELD AT TIME OF INCIDENT. DIRECTOR CALLED TWR SUPVR WHO SAID THEY WOULD REVIEW TAPES AND LET THE CREW KNOW WHAT HAPPENED. SUPVR SAID SOUNDS LIKE WE NEED SOME TRNING. THEY HAVE NOT HEARD FROM HIM.