Carefully extend the fish tape from one opening to the other.
Cable drop through attic multistories.
Then retract the fish tape to pull the cable through.
The attic wiring should be protected and secured to ceiling joists or other wood structural supports.
This video shows how to install an attic fan to help keep your home cooler.
Pull the cable through with a fish tape.
I ve never run much coax but if are a 3 4 in hole might be a better.
If you will need to fish wiring through a wall drill a hole through the wood plate in the attic only.
Yes this should be corrected and it would be good to have the wiring and all the circuit connections inspected as well.
And use semi rigid wiring fish tape to pull your wiring down to your outlet location.
If drilling downward through the floor repeat the above procedure but expect to pass through 3 4 inch 1 9 cm sub floor and up to an additional 3 4 inch 1 9 cm of finish floor hardwood etc once 2 inches 5 1 cm have been penetrated it should be much easier to drill.
Drop the string and catch it in the wall cutout and use that to pull the cable through.
Tape the end of the fish tape tightly onto the cable with electrical tape.
Make sure the tape is smooth so the cable can slide through the opening.
3 8 is really only useful for a single cable run and i can t imagine running cable through a 1 4 hole.