There is no such thing as spot reduction for fat, the body gets rid of it how it wants from different places as your body fat % drops.
Rum and cokes won't really help, unless it's diet coke. Gotta lower the amount of calories you're taking in. Check this site to see the calorie level in the alcohol you're drinking:
http://getdrunknotfat.com/
Do you drink every night? Me personally, I stopped drinking the, what I consider pointless, beer or two a night because I only drink now when I'm planning on getting drunk, or maybe a beer when dining out.