That doesn't sound right to me. Discounting leap years, you should turn 1 year old on your first birthday at the time of your birth (or considering the existence of leap years, 6 hours later than that, either the day of or the day before, depending).
Modern fobs should be designed to prevent replay attacks (there should be something specific in the request that alters the response), so it shouldn't be possible to record a response and then use it later.
The one on the right leg looks like a left foot to me.