(1) TRUE
The inductance associated with a straight piece of conductor is very small compared with that of the same piece of conductor wound as a solenoid, but it is never exactly zero. (Remember that even a straight piece of conductor makes a contribution to the magnetic flux within the overall loop of the circuit.)

(2) TRUE
The induced voltage across an inductor is L di/dt, and in the situation of opening a switch, can be indefinitely large compared to the emf that set up the current in the first place.