It sounds like you need to make a Results table. This would be a join table between athletes and the events, where one field would note "winner status" or the place(s) the athlete(s) came in for any one event.
I also would consider breaking out another table just for teams. Then athletes can become members of a team which would make your efforts more versatile in the future and easier to enter today.
How you want to enter your 'Results' events dictates the exact method to build this.