i have tested lots of antennas that have multiple S11 dips at different frequencies.
they do not necessarily mean that the antenna is "tuned" at any one of those dips!
what i like to also do is have a standard gain horn handy, and simultaneously measure S21 magnitude between the test antenna, and the standard gain horn maybe a foot away. when it get an S11 minimum, AND simultanelously an S21 magnitude maximum, THAT is where the antenna is tuned.
as an example of a spurious antenna response, lets say i made an "antenna" by soldering a 50 ohm chip resistor at the end of a piece of semirigid cable. It would have a very low S11 magnitude, right? but it would make very poor radiator. Similar sort of loss mechanisms can go on inside an antenna, where instead of radiating at an S11 dip, it might just be turning all the incident power into heat!