Firstly I am assuming that you want to make a good Dark, Golden or OP (Naval) style rum. Not that white lighter fluid in a bottle.....
What types of molasses work best for what styles?Blackstrap is what most Rum distilleries use, but the definition is varaible worldwide. Some use a mixture of blackstrap, and High Test Molasses (better food grade)
[*]What types of yeasts?
There are seveal molasses yeasts available, but any yeast that works well with Sucrose (i.e has high sucrase activity) will work. I have found the best are from Lallemand, specifically the Danstill CM and CR1
[*]What brix should it be lowered to for fermentation?
You really should trial this, but most molasses yeasts loose it above 22Bx, but temperature and pH have a big factor
We run ours at 20Bx
[*]What acidity?
Bring it down to about 3.3-3.5, I have found Citric Acid rather than Phosphoric to work well, as the last thing you want to add to molasses is more phosphorous.
[*]How to sterilize the molasses wash before pitching the yeast?
It has been my experience that this is a waste of time (major debate starts here <----). It is better to bring on a rapid fermentation rather than muck around with sterilisation. Most spoilage microbes do not survive well at 20Bx and pH less than 3.5.
[*]Should it be filtered, fined, etc. before pitching to get rid of unfermentable solids?
Screen out the mice and snakes, dilute (hot water to bring it up to pitch temperature)
[*]What temperatures for fermentation?
Again this is a function of your chosen yeast. Some of the Carribean strains like +30C, and produce some interesting esters. My preference is to pitch at 30C, get the ferement started, and then bring it down to 28C. This is very much about the style you are wanting and is the secret of the great Rums.
[*]How long should the fermented wash be stored for before distillation. Fresh vs. aged?
Never store rum wash, its unstable as hell, and in a warm climate (where it all started) the wash is turned straight into the stills as soon as it has settled.
If you do not want to distill off the lees, then fine the wash with some bentonite.
[*]Pot still versus reflux?
Rum is tradditionally made in a double pot configuration, similiar to Scotch. But a lot of the West Indies use a large pot, driving a short (<8 plate) column. Its important to know that a lot of rum pots use direct steam to assist with the reduction of some of the unfermentable sugars. There is a big flavour difference between direct steam, coils, and direct fired.
[*]Aging the final spirits? Types of barrels? used vs. new? barrel size?
Dare not comment on this as US oak is vastly different to what is used elsewhere. But tradditionally they were 400L (US 100Gal ?) barrels, unless it was Naval Rum, which was allways in 100L casks.
[*]How to speed up the aging processs and develop the best flavor profile?
You don't. Good rum takes time in wood. Have a look at all the countries that are renowned for Rum (Australia, West Indies, Carribean etc) they all have minimum bond under wood reglations of between 3 and 5 years.