I don't think we ever confirmed if this is the original SL-1300 or the SL-1300 Mk2?
Regardless, you should be able to tell by observation it if the 'warp' you are seeing is the records (unlikely all of them .... although I don't buy newly pressed vinyl anymore as I've had to return about 80% of what I have bought due to warps - they truly are pathetic quality!) or the warp could be in the mat or the platter. Is the mat an original mat (look at the owner's manual and look online and compare). Some mats came with 'keys' molded in the bottom that fit into slots on the platter .... to, usually, orientate slots in the mat with slots in the platter for automatic record size sensing. Not the case with either version of the SL-1300 but perhaps you have a replacement mat.
Your static issue .... could be a dirty or worn stylus as pointed out or it could be the tracking force setting was disturbed during transport or the seller really didn't know how to set it up.
I'm assuming you have the ground wire connected to the ground terminal on the receiver (although not doing so results usually in hum rather than static)? Any change when you wiggle the cable while it's playing? Are the RCA plugs fairly snug on the phono jacks on the receiver or are they loose?
Regarding tracking force, always rebalance and re-set tracking force after transporting a turntable. You have to do this anyway as it's something you need to learn to do. Also, the rule is not to transport with the counterweight attached to the tonearm, or the cartridge attached to the tonearm or the platter installed on the spindle. One pothole, speed-bump, or abrupt stop and you've probably trashed your stylus, bent your tonearm, snapped off the tonearm stub, buggered the bearings in the tonearm or cracked your dustcover.
Tell us what markings if any are on the Stanton cartridge and on the plastic holder portion of the needle. There were a lot of Stanton models and a lot of tracking force ranges.
How about some pictures of the turntable and cartridge?
Regardless, you should be able to tell by observation it if the 'warp' you are seeing is the records (unlikely all of them .... although I don't buy newly pressed vinyl anymore as I've had to return about 80% of what I have bought due to warps - they truly are pathetic quality!) or the warp could be in the mat or the platter. Is the mat an original mat (look at the owner's manual and look online and compare). Some mats came with 'keys' molded in the bottom that fit into slots on the platter .... to, usually, orientate slots in the mat with slots in the platter for automatic record size sensing. Not the case with either version of the SL-1300 but perhaps you have a replacement mat.
Your static issue .... could be a dirty or worn stylus as pointed out or it could be the tracking force setting was disturbed during transport or the seller really didn't know how to set it up.
I'm assuming you have the ground wire connected to the ground terminal on the receiver (although not doing so results usually in hum rather than static)? Any change when you wiggle the cable while it's playing? Are the RCA plugs fairly snug on the phono jacks on the receiver or are they loose?
Regarding tracking force, always rebalance and re-set tracking force after transporting a turntable. You have to do this anyway as it's something you need to learn to do. Also, the rule is not to transport with the counterweight attached to the tonearm, or the cartridge attached to the tonearm or the platter installed on the spindle. One pothole, speed-bump, or abrupt stop and you've probably trashed your stylus, bent your tonearm, snapped off the tonearm stub, buggered the bearings in the tonearm or cracked your dustcover.
Tell us what markings if any are on the Stanton cartridge and on the plastic holder portion of the needle. There were a lot of Stanton models and a lot of tracking force ranges.
How about some pictures of the turntable and cartridge?
