Don’t take this the wrong way, but if you don’t know what the engine should sound like when the starter is properly turning it over I seriously doubt you’re going to get anything close to a correct diagnostics from an internet message board. Either take it to a shop or have a friend who is a little more mechanically inclined come over and check it out. To troubleshoot something you can’t see or hear you need a very detailed description of what the car is doing.
I doubt it’s anything too serious, but trying to pinpoint it without a good description of what it’s doing is pointless and will only waste money replacing parts that are more than likely fine.
Finally, I seriously doubt it’s an inertia switch on a 93 Honda. I have my doubts that it even has one. That was a Ford thing that came out after a few Fords had some serious fire issues.