Is it okay to remove the part "that's created" from this sentence? Does the meaning stay the same?
It is perfectly fine to remove "that's created" from this sentence, however, it does change the meaning slightly. Adding "that's created" informs the listener that Red Lobster (the restaurant) has intentionally caused a sense of urgency with all-you-can-eat shrimp. If you remove "that's created" then it no longer links Red Lobster to the urgency. The urgency to get all-you-can-eat shrimp seems to be caused by the consumers themselves. This can be quite common in English and even quite confusing for a nonnative English speaker. Even removing a short fragment of a sentence can change the meaning. The sentence may be grammatically correct and may sound natural to a native speaker, but it changes the context of the sentence.