|Not sure this is what you want, but try a Defined Name|
Take your four AND() formulas and tuck them away in a
part of your sheet that no one is going to bother, like column XA
Once you have all four formulas in XA(1) - XA(4)
Hightlight all four cells
Next, Click on the Name Box, which is is directly above the "A1" cell.
Now, type the new name for the cell(s), for example: MyDateList
You can now use the Defined Name, MyDateList in your Conditional Formatting.
If I understand you correctly, all four conditons must be TRUE
so simply putting: =MyDateList as the formula should work.