Drills do not make holes to an accurate size. Drills do not make round holes. Drills do not make straight holes. All that said, the #13 might do it for you, depending. It also might end up too tight, or might possibly end up loose, depending... A drill one size smaller, #14, followed by an appropriate reamer for the desired press fit, would make for a lot less guesswork and a lot more confidence in a good outcome. You should also carefully measure the O-1 rod diameter with a trusted micrometer or compare it with a 3/16" dowel pin. O1 is usually within .001" of nominal size, but is definitely worth checking, especially at the end of the rod. Check it at several clock positions, too. In a hole of that small size, there is less room for tolerance stack up if you want a specific fit.