young and new to analog update

so i was with my girlfriend in el suprimo records in baltimore city, and saw a jvc turntable, its a jvc la (not sure the model number) series. semi-auto direct drive. asked the guy in the shop how much he wanted for it, and he said $40. snatched it up! unfortunately, theres the problem that the stylus was bent (tried to fix it, messed it up even worse haha) and the rubber mat was hardened in one section, and cracked when i handled it. so i need to determine what model the cart is (its a audio-technica atx and again, not sure the model number) and get a new stylus (or a different cart) and a new mat.

i did test it, the platter spins evenly, and at stable speed. so i think i did pretty good here! great place to start i would think. just need a phono preamp so i can hook it up to the big box home theatre system in the living room (really only until i find something a bit more suited to what im doing and a bit more high quality)

also, i had a chance to try out installing a cartridge (my girlfriends dad has an old technics sl-23) and i did it with no problems, and it's sounding great! although, only the 33 1/3 setting works, the 45 speed wont set right, maybe a lubrication issue?