"Allure" is a noun. The form "alluring," while originally a participle, is an adjective nowadays, since "allure" is not normally used as a verb. "Entice" is a verb, and is not used as a noun -- for that, we have "enticement." As far as the meaning of the two adjectives, "alluring" and "enticing," they're very close, but I would say that "enticing" comes closer to "tempting," whereas "alluring" is more like "attractive." "Enticing" can also be used as a present / active participle, since "to entice" is a verb.

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