Ok, there are way too many "errr" interpretations out there. The ABS pump, the clicking from the ARC relays, the fuel pump priming, all of that will start once you turn the key to "On" and stop on their own within a few seconds. (The ABS may take about half a minute if the car has been sitting a long time.) Once that is all finished, the car should be silent (except for the annoying key chime that you may have - mine does
).
Now, if you hear an "errrr" when you turn the key to "Start", and only then, it may be your starter solenoid. If there is a problem with the starting system, the solenoid often makes a very rapid clicking / rapping noise that is sometimes fast enough to sound like an "errrr" noise. It's very obnoxious and abrupt.
On the early model cars, the solenoid is on the inner fender, right behind the battery. (Caution, it's always electrically hot and those are big, low-resistance cables.) On the later cars, the solenoid is mounted to the starter. (Really, the older cars have 2 solenoids or starter relays. There is one on the starter as well. But the system is wired differently than the later cars, and the solenoid on the fender can go bad.)
If it is the fender solenoid (sometimes AKA starter relay), that is a cheap part and is easy to replace. It can be bypassed to test it. But I would advise caution, as KMT said. If you don't know what you're doing, don't do it.
One way to test the starter itself is to have someone else turn the key while you rap on the starter itself with a big hammer. Again, be careful, especially if it's a 5-speed car.
Good luck!
P.S. - Nice car. I like the paint.