I think your fees should be substantially higher (like... 20-30k at least)
And as you identified, property line foundation design will be critical. If the adjacent buildings have inadequately buried footings (as is often the case) excavation needs to be done very carefully with recommendations...
#1-5: They are asking for basic architectural code analysis. Several of these items are defined in the IBC (occupancy, building type).
#7: Sounds like they are asking to define/explain the load path to the ground
#11: I believe those minimum ceiling heights only apply to 'habitable space'...
In my area, a lot of elevated garages were constructed in the 80's fully out of wood. Perimeters are 2x8 stud walls, 12" o/c + robust joist framing, 1-1/8" thk sheathing, then a topping slab that gets sloped to the front or to internal drains. They seem to have held up well over the years.
Pretty often yes. Some things to keep in mind are that the T/C loads should be amplified by the overstrength factor for the beam design; and the beam should have connections on either end to handle uplift.
I'll offer a differing opinion and just say that I love this style of interview exam- way more fun than the standard fare.
I think if I were to receive something like this I'd be simultaneously bewildered, yet grinning during the entire thing.