Immortals Companion

My "Rank" is equivalent to the old system's "Troop Class".
My "Battle Rating" is the same as the old system's "Battle Rating" divided by five.
I don't have a direct equivalent of the old "Basic Force Rating", but you can use the old system to convert it into a Troop Class and use a Rank that matches it. (If you don't have the old system, divide the Basic Force Rating by five, and then look across the top row of the Battle Rating table on page 19 - the row for a Capability of 0 - and when you find the one that most closely matches the BFR/5, that's the Rank of the army.)

1) While you roll a d10 for resources, this doesn't mean that domains can have a maximum of ten of them. They have a maximum of four (see the table on p12).
2) Yes, pretty much. While having a mineral resource is useful; having multiple isn't any more lucrative than having one. Having fifty families mining gems or twenty five families mining/cutting gems and twenty five mining/smelting iron gives you the same income, because in either case you have fifty families exploiting mineral resources. It's assumed that in cases like this you'll be producing much more iron per worker than gems but the overall income from each will be about the same. More types of resource aren't necessarily better (although the variety of resources will be taken into account by the DM when deciding what random events occur - for example a collapse in the iron mine won't put your entire mineral production out of action if you also have a gem mine).
3) You don't get domains that have three of each so this situation never occurs....See more The "best" domain you can get is one with one or two mineral resources and one or two animal resources. The "worst" domain is one with only mineral resources and no animal or plant ones - the peasants won't be happy if they're all forced to work in the mines, even though such a domain would be theoretically lucrative in terms of income.
4) Again, you don't get domains with over five resources - so this situation never occurs.

Thanks! While writing a script to generate domains and auto-assign families I had a hard time generating any that would hit the corner cases you covered. Didn't put 2 and 2 together in my head, thank you for clarifying.

(I'll make sure to message you if anything worthwhile comes of it)

I love the book. But I have one question. Is there a way to convert old BR and BFR from the old systems to the new? I have the Gazeteers and Poor Almanacs which have a lot of army information. Just wondering if you can convert old material.

I agree the background here looks unsanitary, but the real answer is - use a viewer that allows this.

No idea if anything can specifically turn off pictures, however. Other than by copypasting the text from viewer to text editor.
MuPDF has "Toggle between color and grayscale rendering" [c] and "Toggle between normal and inverted color rendering" [i] - usually either or both are enough.