TexasCHLforum.com

As I understand it, there is nothing in the law about anyone bringing any alcoholic beverages into a non-licensed business. You can do it if they allow it. TABC will not care. And yes, a business can give away all of the alcohol they want if they do not have a license. But they must be willing to give it away to everyone who is of age and they cannot charge for it by some other means, such as a cover charge or admission charge. Since there is probably and admission charge to the skating rink, someone probably accused the rink of giving the alcohol away if TABC got interested.

Of course, TABC is also very interested in underage drinking and in places that promote this activity. Somehow, i can see a lot of teens hanging around a skating rink and there being a problem with underage drinking if someone is sneaking booze in.

I would guess it is more likely the officer was wrong about things, but either of these two possibilities is also a good choice.