I wouldn't like the chances of a -7V fixed regulator being in stock when needed, adjustable might be a better bet. Might be okay for +7V, but I would also look at an adjustable one.
Best approach is heavily dependent on the current range. Also many cheap regulators may not be able to reliably handle the 12V input- it can go higher if lightly loaded and have some hash on it, so I wouldn't put anything less than a 16V regulator in there.
The recommended minimum current for best performance is 10% of maximum, so that's 8.3mA, so the Iq of the regulator doesn't matter much.
Pay attention to the maximum power dissipation as Andy says, you may find a tiny regulator overheating- you're putting potentially about as much heat into the regulators as the entire rest of the circuit. Calcuate the worst-case junction temperature at the maximum ambient temperature and keep it well below the maximum limit in the datasheet.