I recently got my car on the road after a mechanical restoration and have noticed problems with the circuit that goes through Fuse #1 (or A or the right most fuse). I know its part of the engine cooling fan circuit. I think it had a 16A fuse in it. When it blew I did the most obvious and most intelligent thing anyone would do and put in a bigger fuse!

I put in a 25A fuse in it and it seems to be holding but I can see it getting slightly burnt on the edges of the fuse. What else goes through this circuit?
From reading the wiring diagram that came with my car, that fuse handles the cigarette lighter and the engine fan. Is there anything else its meant to protect?
How much current does the stock engine fan pull? What is the correct fuse size for this application?
How do you go about diagnosing a problem like this? I know I can measure resistance across the fuse terminals when the battery is disconnected but what is the magic number I'm looking for?