UPDATE--
I had some time yesterday to work on my machine and cleaned out the tank, removed the drain and fuelline port (they are in rubber grommets). On the inside of these ports there is a mesh bag that acts like a prefilter. I washed them out and put everything back together, with new line and new filter bowl (i was able to order on from Jacobsen for $40) The whole time I was working on the fuel system, I was charging the battery, and I fired right up!! I mowed for a couple hours and tried to start it, but it was dead again. So I'm guessing there is a charging issue...
I know it's not the battery, or the alternator - had both of them tested. What else prevents the battery from charging? I'm thinking regulator. I can upload a schematic if anyone wants to take a look. Thanks in advance.
I may be able to get back to the hydraulics sometime.