high scores and tiebreaker

Finding high scores and breaking ties for multiple events

I need some help with this spreadsheet. This is for a forestry contest. Students compete in 6 different categories (columns B through G). Teams can have up to four members and the top three member scores are taken to determine a team score. Teams are then ranked.
Here is where I need help. I would like to be able to find the high individual score for each category in the contest. (sawlog, pulpwood, tree ID, etc) If there is a tie in the category it is broken using the category in the column to the right. Example – sawlog 1st tie breaker is pulpwood, the 2nd tiebreaker is thinning. The last column, Compass, uses sawlog as 1st tie breaker and pulpwood as 2nd tiebreaker.

Example
Will on the RHS team had a score of 112 in Tree ID and a score of 48 in thinning.
Michael on the WHS team also had a 112 score in Tree ID and a score of 44 in Thinning.
So Will is the high individual in that event –
How can I create a formula that will bring the winners name down to row 66-71 and also bring the score down to row 66-71 to show who won each event?

example spreadsheet attached

Thanks in advance to anyone that can offer some help!

Generally these calcs are a lot easier if you use helpers else you're looking at rather expensive arrays - the helper columns shown here can be hidden from view etc but they simplify the process significantly.

Note: the numbers in rows 66:71 are formatted to show 0 decimals but WHER's approach is far more logical (ie just use MAX - depends in truth if you need to do any other analysis based on the MAX value).