No problems bringing the liquid coffee creamer as long as it is still sealed. You can place it in your checked or carry on bag.
Bringing an already poured glass would not incur Carnival's "corkage fee". Bringing a bottle (open or unopened) into the main dining room or any restaurant onboard technically would incur the $15 corkage fee.
Carnival's Corkage Fee Details:
A $15 USD corkage fee, per 750 ml bottle, will be charged should guests wish to consume their wine or champagne in the main dining room, specialty restaurant or bar.
A corkage fee is a charge assessed at time of service at a restaurant for every bottle served that is not bought on the premises.
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