I don't know what they're called. I call them the soft top storage
compartment interlock buttons. The parts guy is pretty smare, he'll find
them.

If this is an adjustment problem with the buttons, you should be able to
fully depress them as a test to see if the storage compartment will open.
(Use caution in this test because the storage compartment lid and the trunk
are able to occupy the same space at the same time, the implications of this
should be obvious.)

No. If there was a failure, the light would remain on.

Airbags are a Safety of Flight Item. If there is a hint of a problem, the
light is required to remain illuminated until the problem is sorted out. The
ABS brakes are nice to have, but a failure of the ABS system does not demand
a service call it extinguish the light. You can have an ABS problem noted on
one drive cycle, and the light will come on and normally remain on until
that trip is finished. On the next trip, the ABS does its self test and the
light can go out and remain out. If the light comes on or remains on, all
this means is the ABS feature might not work -- the wheels can lock in an
emergency situation. There is a multitude of sensors in the ABS system that
can throw a random fault on any given drive cycle and at any time in that
drive cycle. The fault can theoretically fix itself, and on the next drive
cycle the self test will conclude successfully. The fault might appear
randomly everytime you drive the car, or it might never appear again. For
example, there are sensors that look at the tires rotating -- these sensors
can tell the computer that a tire is not turning when the rest of them are
doing 70, or 10. The computer knows the car is not slowing down, so the loss
of signal is detected as a fault and the ABS light comes on. The next time
you drive the car, the sensor signal can return to normal and th elight will
remain off. Indeed, you could (in theory) turn the car off and immediately
back on, and the ABS can reset itself because the offending sensor loss has
already returned to normal.

The Airbag is different. Because a life is at stake by the failure of the
system to deploy, the system will keep the airbag light on all of the time
once it has come on due to a fault. Since the airbag system does not allow
for transient failures (as the ABS system allows), then any failure is
permanant and requires a technician to diagnose and repair before the light
can be reset. As a practical matter, you and I may be able to fix the airbag
system if the problem is a dirty switch contact or connection, but since
there are lives at stake, the system demands a professional to perform
service before resetting the light. Sadly, a professional is defined as a
guy that has a reset tool.