Chris wash it out with bleach it will kill any mold that is starting.
Here is the specs on your ford.
http://www.tractordata.com/farm-tractors/000/2/7/273-ford-7000.html
The MF
http://www.tractordata.com/farm-tractors/000/7/4/744-massey-ferguson-150.html
I would suggest adding some serious weight to the flat bed until it dries. It looks to me like the wood is just green and drying without weight is allowing it to curl. I have forced wood down to a steal frame with wretch straps as well with decent luck. But if you leave it without weight it will probably curl more. I would probably soak it and then add weight or straps to pull it back down.
Sharpen the brush hog before you start that MF is a little smaller then my d15 it will do well with the brush hog but if it is dull it will eat alot more power.
That Ford is a nice size it will do everything you could want. Those two trucks are gold. I could really use one of them here with a dump body.
Looks like a great place and some really useful tools.