Hi weejohn,
Sorry you're having troubles. Well...if it turns out that your fuel is OK....there are a couple of things you may want to try even if the fuel is the culprit.
First off, have you cleaned out the "fuel chamber"? The fuel chamber is a black reservoir that is plumbed into the fuel system between the fuel pump and the carburetor. It is housed in a black, round holder that is attached to the engine oil dipstick tube. To clean it, simply remove the fuel lines from it and then slide the holder and chamber up and off of the dipstick tube. A little lube on the tube (hey!...lube on the tube!...I made a poem!) will help here. For reference see items #4 and 2 in the parts page link below.
http://www.boats.net/parts/search/Honda/Outboard Engine/2004/BF20D4 SRTA/FUEL PUMP (2)/parts.html
Those chambers will collect water over time and need to be drained out every so often. Just keep shaking until no more liquid comes out and then re-install on the engine. Prime as usual and see it that helps.
As far as the oil small oil leak you see....make sure that the oil filter in on good and snug and has no holes in it. I have seen them punctured accidentally and I have also seen one that had a hole in it right out of the box! With the engine cover off, have someone crank (electric start?) the engine while you watch. Pay particular attention to the filter and dipstick tube area to see if you can tell where it's coming from.
One other thing to check would be to make sure the timing hasn't jumped. These engine don't usually have timing belt problems but yours is over 10 years old and it may have stretched a bit in that time. The timing marks on this one are fairly prominent and it's easy to see if they are not in alignment. Basically the little "dots" on the cam sprocket and the flywheel should line up...or point at each other...with proper cam timing. I've found this isn't "perfect" and, on some engines, they won't be EXACT but...they should be VERY close to perfect. If there is misalignment over 1/8", the belt has jumped a cog. An engine will usually start run (poorly) if off even by 2 or 3 cogs of the belt so I'm thinking yours is PROBABLY ok. It's just a good idea to check.
If it turns out that it was the fuel (and your brother:~), opening the carburetor drain screw and then pumping the primer bulb to flush out the fuel system should get you going again. Although it may be pretty smokey in your area for a while once the engine fires up.
Good luck and let us know what you find.