If your pre-ban or post-ban rifles and mags were legal in SC while the Federal AWB was in effect prior to expiring in 09-2004 they are legal to posses in NY today. The NY AWB is a mirror of the now expired Federal AWB.
If you have +10 mags which were manufactured after 09-13-1994 they are illegal to posses in NY. If you added additional features (collapsible stock, bayo lug, flash suppressor etc.) to a postban legal rifle after the Federal AWB expired or have a "no ban" rifle leave it in SC as it is illegal to posses in NY.
It is illegal to posses a loaded rifle/shotgun in or upon a motor vehicle in NY. If you transport your rifles in compliance with USC 926A you should be OK in NY.
TITLE 18 > PART I > CHAPTER 44 > § 926A
§ 926A. Interstate transportation of firearms
Notwithstanding any other provision of any law or any rule or regulation of a State or any political subdivision thereof, any person who is not otherwise prohibited by this chapter from transporting, shipping, or receiving a firearm shall be entitled to transport a firearm for any lawful purpose from any place where he may lawfully possess and carry such firearm to any other place where he may lawfully possess and carry such firearm if, during such transportation the firearm is unloaded, and neither the firearm nor any ammunition being transported is readily accessible or is directly accessible from the passenger compartment of such transporting vehicle: Provided, That in the case of a vehicle without a compartment separate from the driver’s compartment the firearm or ammunition shall be contained in a locked container other than the glove compartment or console.