Hi Bear34_1,
as you have learned RANK can only check for one criteria, therefore you have to calculate a new criteria that will combine your two existing criteria.
Here one possible solution:
It will work as long as the sum in the column B, E, H, K, and N will stay below 1,000 and you have max 9 groups of columns.

Row 7 is a simple copy of the count for the checkmarks in row 5, this will make the RANK formula in row 8 easier.
Formula for A8=RANK(A7,$A7:$N7,largest-is-high) $-signs are important to preserve the columns

Formula for A9=10000−(A8×1000) Here I will calculate a support value.
If the rank is 1 I get 9000, if it would be 2 I get 8000, ... This will ensure that a high rank will get a high total value.
Formula for B9=1000−B5 Here I will calculate a support value.
If the total from B2 to B4 is low I get a high result
In A10 I create the sum of A9+B9
Formula for A12=RANK(A10,$A10:$N10,largest-is-high)
This will give you the rank based on the calculation for the support values.

You can hide rows 6 to 11, to have a clean looking table.
Based on your region the , or the ; will be used to separate the different sections of a formula. If you write one thousand as 1,000.00 then the , is used as your formula separator. If you write one thousand as 1.000,00 then the ; is used as your formula separator.
Hope this will solve your question, please let me know if this worked for you or if something in unclear.
Regards Ralf