Verizon Open Enrollment Insurance

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http://androidforums.com – Ok so this past Saturday I dropped my galaxy s3 (no insurance) and messed up the screen which is now useless, so I picked up another one off craigslist that is like new. So my question is when I signed into Verizon last night a pop up came up telling me about open enrollment for insurance until sometime in March. Can I sign up for the insurance with this phone? It would be awesome if I could somehow get my damaged s3 replaced but I'm sure that might not work. I'm not sure how the process works, figured someone here could help out. Thanks (General)