Option #1 is a hack job / band-aid......... Going over an existing roof is a hack job....period, no discussion. Is it possible to get a quality job going over shingles? It's possible.........It's also possible for me to walk across a 5 lane freeway without looking and not get hit. Odds are about the same....
It also includes caulking around the pipe jacks not replacing (hack job x3).... The pipe jack boots usually fail before the roof so I'm sure they've already failed if the roof has. Since option 2 lists new ridge vent and option #1 does not it leads me to believe they'll go over ridge and not vent it? If you have soffit venting and only ridge vent at present not gable vents then you need to vent ridge.
Coil nails just mean they're using a roofing gun. The nails for the guns come in coils.
Both options list 3-tab shingles. Check you neighborhood for like houses. If they're all using the "architectural type" shingles rather than 3-tabs your house may stand out when going to sell as an obvious "cheaper" option that jumps out at you as soon as the buyer pulls up. I don't know about the area in AZ you're in but within a 100 miles of where I live in the northeast I couldn't even guess which decade was the one I last saw a new roof being replaced or new construction using 3-tabs...
If anyone doesn't agree with my personal opinion that going over a roof is a hack job I'll outline my argument if you would like.... I figured most would agree and I could save some typing..