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Jeff OAl - some homeowners provide coverage for cards and memorabilia; some for memorabilia, but not cards; and some cover neither. Also, many homeowners policies have maximum limits that will be paid for losses involving some types of property - this is particulary common with firearms, cash, stamps, precious metals, etc., but some carriers also have limits on collectibles. Taken a step further, most homeowners policies are "named peril" policies for purposes of personal property - so if the cause of your loss is not included on that list of named perils, you don't have coverage. Named perils normally include things like fire and theft; but if your dog eats your Babe Ruth card and your policy doesn't include damage caused by domestic animals in its named perils, you're out of luck. It's important to understand what is covered and what is not.
With regards to the NJ question - an earlier response pointed out that the individual states control their own insurance laws. CIA is letting you know that since their policy is not "approved" by the state of NJ, certain remedies/practices that exist in NJ may not apply to this policy. What specifically those might be would require research - and an insurer is unlikely to provide you with a list because if they leave out something, they'd likely be on the hook for it.
Jeff