The relevant law is Texas Administrative Code Rule §81.35 "Voting from Outer Space" and who's going to vote against that? It is a very small modification of Texas early voting law.
(a) A person who meets the eligibility requirements of a voter under the Texas Election Code, Chapter 101, but who will be on a space flight during the early-voting ...
As explained in video description of https://www.youtube.com/watch?v=9Emsf_udovU the voting is done electronically
Most U.S. astronauts live in Houston. Texas law allows them to vote from space using a secure electronic ballot. Mission Control forwards the ballot to the space station and relays the completed ballot back to the county clerk.
In the USA you must be at least 18 years old for the following, so that video may be incorrect.
For example HPR Level 1 Certification by the National Association of Rocketry or NAR provides certification for:
Level 1 allows the purchase and use of H and I impulse class motors; solid and hybrid. Certain F and G motors may also require Level 1 certification ...
Just checked from the JPL Horizons website. It seems that it is in fact still there. I also looked at the JPL Small-Body Database. Looking up Toutatis, it says it was last updated in 2003. It seems very unlikely that it was specifically deleted because China wanted to send a spacecraft there.