FIRST YOU MUST REPLACE THE ENTIRE DRIVEWAY INCLUDING THE BASE!

otherwise every crack will reappear and every sunk area sink again

can you drain the grate area to a lower level somewhere on your
property?

drywells under asphalt are bad and drywells always clog from dirt,
leaves debris etc eventually.

your much better off draining the driveway water to daylight.

not only that a driveway collects a LOT of water.

take a inch of rain per square foot times the number of sq feet of your
driveway, thats length times width.

adds up to thousands of gallons