ON A FIRST SOLO FLT; A C172 STUDENT PILOT FLARED HIGH ON A LNDG; BOUNCED HARD AND STRUCK A RWY EDGE LIGHT AFTER DEPARTING THE RWY ON A GO AROUND.

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I WAS SCHEDULED FOR A FIRST SOLO FLT AT ZZZ IN A L TFC PATTERN AFTER DUAL INSTRUCTION. CONDITIONS WERE BROKEN CLOUDS; VISIBILITY UP TO 7 MI AND WINDS FROM 290 DEGS AT 4 MPH. AFTER 1 HR OF DUAL INSTRUCTION IN THE PATTERN; 7 LNDGS (TOUCH-AND-GO) WITH CFI; WE TOOK A BREAK AND CFI AUTH ME FOR A SOLO FLT AND MADE APPROPRIATE NOTATIONS IN MY PLT LOGBOOK. CFI BRIEFED ME ON THE TFC PATTERN; SPECIFICS OF FLT AND AUTH ME TO DO 4 LNDGS (3 TOUCH-AND-GOES AND A FULL STOP). AFTER 3 LNDGS (TOUCH-AND-GO) I REQUESTED A FULL STOP FROM THE TWR. AFTER GETTING AUTH; I FOLLOWED LNDG PROCS. ON FINAL APCH; I WAS IN A GOOD CONFIGN AND SET TO LAND. AFTER XING THRESHOLD OF RWY 25; I WAS A LITTLE HIGH AND FLARED TO CONTINUE TO LAND. AT THAT TIME THE ACFT CAUGHT THE GND EFFECT AND REMAINED HIGH AND THEN DROPPED AND BOUNCED. THE IMPACT AND THE LOW XWIND CAUSED THE ACFT TO PULL TO THE L. I REATTEMPTED THE LNDG AND THEN THE PULL TO THE L BECAME MORE SIGNIFICANT AS IT DROPPED A SECOND TIME. IT ROLLED FOR ABOUT 50 FT; GOING TO THE L. I REATTEMPTED THE LNDG AND THEN THE PULL TO THE L BECAME MORE SIGNIFICANT AS IT DROPPED A SECOND TIME. IT ROLLED FOR ABOUT 50 FT; GOING TO THE L. I USED R RUDDER; BUT THE ACFT CONTINUED TO THE L. I MADE THE DECISION TO ABORT THE LNDG AND GO AROUND. I INCORRECTLY APPLIED 10 DEGS OF FLAPS BEFORE I PUT IN FULL PWR. I CORRECTED IMMEDIATELY AND APPLIED FULL PWR AND THE ACFT WAS AIRBORNE; BUT WAS POINTED TO ABOUT 200 DEGS. I HAD SIGHT OF TREES TO THE L OF RWY 25 AND KEPT THE ACFT IN THIS POS UNTIL I ACHIEVED A POSITIVE RATE OF CLB BEFORE I TURNED TO GO BACK TO THE DEP LEG OF THE PATTERN; SO AS NOT TO STALL OR SPIN ONCE IN A POSITIVE RATE OF CLB; I TURNED BACK TO THE DEP LEG OF THE PATTERN AND THEN NOTIFIED ZZZ TWR THAT I WAS OK. THE ACFT PERFORMED AS BEFORE AND I CONTINUED WITH LNDG PROCS. THE NEXT LNDG WAS ACCOMPLISHED WITHOUT INCIDENT. I TAXIED BACK TO THE FBO AND IMMEDIATELY NOTIFIED CFI WHAT HAPPENED. I WAS DEBRIEFED AND CFI MADE APPROPRIATE NOTATIONS IN LOGBOOK AFTER POSTFLT. AT NO TIME DID I SUSPECT I HIT ANYTHING; I WAS AWARE THAT I HAD 2 HARD LNDGS. I DID NOT FEEL THE EFFECT OF A HIT OR SCRAPE TO THE R HORIZ STABILIZER AND THERE WAS NO CHANGE TO THE PERFORMANCE TO THE ACFT IN MY LAST LNDG. CFI NOTIFIED ME LATER THAT THERE WAS DAMAGE TO THE ACFT AND I RPTED TO THE FBO. I PHYSICALLY INSPECTED THE DAMAGE TO R HORIZ STABILIZER THAT SEEMED TO INDICATE THAT IT BEING GRAZED BY A POLE OF SOME SORT ON THE BOTTOM SIDE. CFI IN CONTACT WITH THE FBO AND FAA TO DETERMINE PROPER COURSE OF ACTION. CFI AND I VISUALLY INSPECTED RWY 25 VIA TXWY B. A RWY EDGE LIGHT JUST W OF B6 WAS DISCOVERED TO HAVE BEEN REMOVED FROM POST AND WAS LOCATED ABOUT 6 FT FROM BASE ON A LINE PARALLEL TO RWY 25. WE ALSO OBSERVED A LINE THROUGH GRASS LEADING TO THE EDGE LIGHT POST THAT INDICATED A LINE OF APCH FROM ACFT; OSTENSIBLY CAUSED BY NOSEWHEEL. ZZZ TWR WAS INFORMED OF THE DAMAGED EDGE LIGHT AT B6 AND WILL MAKE APPROPRIATE NOTIFICATIONS TO THE MUNICIPAL AUTHS.