Being heavy can be an advantage for an LP but it's far from a guarantee of quality. Remastering is often spotty. Quality control can be problematic at times.

The stylus is the contact point on the record and it will ordinarily include the diamond, a slender metal cantilever and a rigid grip area. It isn't possible to accurately assess the condition of a stylus without a microscope. A trained ear should be able to pick up on some distortion when the time comes, but with a cartridge of unknown condition I don't think I would risk my new records on it.

Styli have to be an exact fit by the cartridge manufacturer or designed to replicate that, like they do at lpgear.com. Once you're familiar with how a particular cartridge is fitted with a stylus, it takes only a few seconds to replace one and it ordinarily requires no tools. A problem with just replacing the stylus, though...some just aren't very good and don't have an upgrade path. Often, the only replacement is the cheap original.

Buying a cartridge like the AT95E could be a better investment than a stylus in that you could simply move the AT95E to a better turntable when you get one. And by the way...this seems to be a belt-drive turntable. You might have a need for a replacement belt if the current one is the original.