Specifically, is Bacardi Superior Original Premium Rum kosher for Passover? The label doesn't say so, nor does it say that it's kosher in general for that matter, but since it has a sugar base, wouldn't it be kosher for Passover?
Rum, while it can be made kosher l'Pesach, needs a certification for Orthodox observance. Whether it be the contents that could be mixed with it, the facility, or the utensils, it is not KLP by default.
For the Orthodox community (specifically Modern Orthodox), the Orthodox Union puts out a guide every year that includes items that don't need certification. Rum is listed as one that does need it. And, for purposes of rum you already own when cleaning for Passover, it is listed as "Not Chametz Gamur" meaning it's not true chametz to be cleaned, but should be sold instead.
UPDATE Since rum is fermented and has had yeast added (and possibly even alcohol) it would require certification for Passover even if it is kosher without certification for the rest of the year.
CRC lists rum as kosher unless it is aged in wine casks.
Unflavored rum is recommended without hashgacha unless the label indicates that it was aged or finished in wine casks.
The list shows those that have no hashgacha but are recommended anyway and those that are certified by the OU and AKC. Many of these require a hashgacha to ensure that they were not aged in wine casks.
Certification status: Acceptable WITHOUT Certification
Star k Rum- Spiced or Flavored
Certification status: Requires Certification
While sugarcane (from which rum is made) would have no problems, one should double check with a certifier like the OU or Star-K if there are extra ingredients that would affect the Passover status just to make sure. I have sent an email to the OU and star-K to make sure.
According to references that I have found via google, rum is made by adding yeast to sugar cane syrup. Thus, the source of the yeast is critical as it could be chametz.
Cool the solution to 28 °C (82 °F) and add the hydrated yeast. You may find it helpful to take out about 1 liter of the mash in a jug first; try dissolving the yeast in the smaller jug. Then, when the mixture begins to foam up, incorporate with the rest of the wort
Rabbi Zvi Holland of the star-k answered my email and said
Requires KFP for a whole variety including possibly added CHOMETZ alcohol in some countries