Something that will include patching up holes, underlayments, sheatings and re putting the shingles back?

These guys usually have knowledge in multiple trades and the project management skills would do more for you that knowing the difference between 3 tab and architectural shingles.

It’s currently an asphalt shingle roof.

Is it shingles?

I just had someone take a look and they said the roofers were complete hacks: flashing done completely incorrectly, holes everywhere, tons of exposed nails, gutters filled with old shingles, etc.

I would look for shingles curling up, shiny shingles, and the path of water to uncover any deferred maintenance.

Especially want to know if others are familiar with these computerized forms and what things to be on the look out for.  

For exterior, you should be able to get color samples for the shingles and siding. 

I have an old shingles roof and I know I have to re-roof prior to install of solar panels.

The property must be in an area that is experiencing at least SOME steady appreciation over a period of time -- the amount isn't particularly important, just that there is a positive, easily-documented-through-comps, widely-observable phenomenon happening that appraisers can hang their shingle on.3.