Using Checkboxes to control other sets of checkboxes

Column A is a set of one type of rule conditions 16 rows $A$2:$A$17
Column D is another $D$2:$D$14
And so on.

My objective is to have a "Select all" checkbox that checks only the appropriate groups of cells, and un-checks the others for specific configurations.
I also have a checkbox that I need to turn invisible when another cell ="", and reappear with it isn't.

Lastly, I have a column with several cells with 3 radials. I need each cell to produce numbers independently.
If one equals a cell reference they all equal that cell reference.
Say $L$2:$L$13

Example attached. I tried to format for clarity