If you can find one of those cleaner floppy diskettes, you may want to try that before ruling a drive unserviceable. If it still has problems after a cleaning, it may be damaged or it may simply be super filthy; I've had many drives that were so full of dust that a disk couldn't be inserted fully, including one drive that someone apparently decided to use as a repository for four (long-expired) credit cards. It's usually pretty easy to take the top off one of those drives to check on the dirt level.
Apple used special drives in their computers, all of which shared the same single connector which has about half the pins of a PC floppy drive. So you won't be able to grab just any random drive to stick in your 9600.
There were three suppliers (that I know of) for the manual inject floppy drives for desktops: Mitsubishi, Sony, and Panasonic. The Mitsubishi units are by far the most common, Sony less so, and Panasonic drives showed up toward the end of the floppy drive era ('97ish, so usually in 86/9600s and beige G3s) and seemed to displace the other two makes. You'll never know what make a particular drive is unless you remove it from a computer: they all look the same from the front and mostly sound the same in operation, too. They're also all interchangeable, so as long as a drive is from a Mac and has the black plastic flap on the front, you can use it seamlessly in your 9600. You can use an old auto-inject drive if you want/need to, but the bezel won't fit properly.