If you are seeing a drop from 12v (what is it actually, measured with a meter at the battery?) to 10.5v passing thru the fuse, then the most likely culprit is the fuse block itself. The clips that hold the fuse corrode on both sides (facing outward, and on the backside) after time. To correct this you can remove the fuse block and carefully clean both sides until shiny bright, or replace the block with a modern styled ATC fuse block. Hondaman (Mark) makes a plug and play replacement unit that you can find a link to in the Services Offered forum.
Full maintenance of all connections, grounds and the terminals is in order, but the fuse resistance is a major priority. You should also verify that the battery itself is good. If you see the voltage drop with the key active (10.5v at the battery) then it's a strong indicator your battery is toast.