Yes, any P3 labeled E or EB is a Coppermine, and the P3's above 600 (600+) are all Coppermines. There are, however, Coppermines below 600MHz. Both Slot 1 and FC-PGA can be Coppermines.
Since you are buying retail (in a box), there should be a heatsink that fits perfectly on your processor, because it's bundled with it.
If you could rewrite your post for better grammar, it would be appreciated because it's kind of hard to make sense of your post...

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Hope that helped anyway