Rolex was running then stopped. now the second hand bounces and wants to move in reverse, how do I fix this?

This is the hint regardless of Rolex. Look at the second hand and watch the motion! Does it sweep or tick? If it ticks it is battery operated watch knockoff.
Rolex is a self winding watch thus the second hand sweeps does not click each second.

Yes, absolutely correct , all automatic watches tick and the fake Rolexes just tick a bit slower so it is more visible.

There are a few things to check..

Most reproductions/fake Daytonas have a second hand that moves.. if your second/sweep hand is moving like a standard second hand.. you have a fake.

The real Daytona's second hand remains at the 12 position as it is part of the stopwatch function and only moves when activated.

A few other things you can check.. if the three mini dials refer to months or days it's a fake.

If anything is engraved on the back of this watch.. it's a fake

Rolex engraves a serial number between the lugs.. some fakes duplicate this..but generally not very well.

Lastly if you have none of these issues.. the final way to be sure is to have the back removed and have the movement verified.

Best of luck

If it is not a feature built in to the watch to save power when it needs winding, I would say it has a bad gear wheel inside.
I would go here, join, and ask in the Rolex Forum,
http://www.watchuseek.com
These guys are really knowledgeable.

this watch will need a service from a rolex trained repairer wich wont be cheap 700 dollars min or 500uk pounds min..you could try tapping watch in palm of hand to see if a batton or luminous paint has come loose,then all it needs is movement taking out and blown clean inside case.any decent repairer can do this.sometimes the teeth on a wheel can wear in one place hence it always stops in same place.recomend service as best action,you never loose on a rolex...

The quickest way to spot a fake Rolex is by the second hand. Is the second hand ticking or sweeping. If it's ticking it's fake. A real Rolex's second hand moves around the dial in one continuous movement.

Check for a small engraved crown on the crystal at 6 o'clock. Most fakes will have something similar. The difference is that the crown on a real one is almost impossible to see by just your eye.

Look for the word "Rolex" and the watch's serial number engraved at 6 o'clock under the crystal on the area between the crystal and the dial. While many fake Rolex watches post-2005 have this feature, they're usually printed, not engraved.

Most other ways relate to newer Rolex watches.
Hope this helps and hope it's the real deal.

No problem pulling it the way out its okey,Wind it the crown until calendar move so the hands move properly.When you going back the crown,push the crown hardly going inside while pushing, wind the crown until you reach the end so its locks properly,because has a thread needs to lock so it will not wind freely,that all Working guy, txt me whatever happen.

ok. bear with me. lol. on most watches without a chronograph. the second is the largest hand on the watch and naturally that's what most people refer to as the second hand. On a chronograph the "true" second hand is the little middle dial. It should always be constantly moving and the large hand should only move when the stop watch funtion is in play. The way to employ the stopwatch funtion is by unscrewing both buttons. The top button starts the action. Once pressed then large hand will begin. The little dial on you left will keep up with each minute that passes. To stop the function, press the top button again. To reset the stop watch, press the bottom button. The little dial on your right is simply military time. Hope that helps. Good luck!!

no! you have not done anything wrong my suggestion is bring it to an authorized rolex service center or any certifide rolex watch fixers.to avoid any damage of your rolex daytona. it mabe costly but you have made it wisely.

The advice given here is accurate to a degree. When wound, a rolex daytona IS running. However, it is the running seconds hand in the small sub-dial that is actually running. In the earlier Daytonas, this sub-dial was at the 9 o'clock position on the dial, (pre-2001 series daytonas). The later daytonas, from 2001 on, use the seconds at 6 position for counting seconds. The main sweeping second hand on the watch dial will NOT start until activated by the pusher at the 2 position. That pusher needs to be unscrewed and then pushed to start the large sweeping second hand. This action, in turn, starts the remaining 2 sub-dials in motion, counting minutes and hours. To stop the chronograph function, you push the pusher @ the 2 position again, to stop the sub-dial hands from counting, and then push the pusher @ the 4 position to re-set the dials to their "straight up position". This stops the chrono's function, until it is needed again, BUT the main running seconds, (at either the 9 or 6 sub-dial position, depending on the year series of the daytona) will continue to run, thus keeping accurate time.  Hope this gives you a better idea of how the timekeeping of the chronograph function on a Daytona works. So, to start your seconds running you need to start the chrono function by pressing the pusher at the 2 position. That will allow you to see the large sweeping second hand I think you're referring to here. Hope this has helped.
Doug