If not already done, have a look at AN5364 How to protect ST25 tags from wireless power charging. It will ensure robustness of your design. And since the serial capacitance modify the communication profile, it should be added at the beginning of expe...
Here are some more information to help you in your analysis of risk Vs cost in you specific use-case:About "how can I verify the uniqueness of the UID?", this can be done depending on the use-case: if the overall system consists of several readers ...