"Right to Work" states like Georgia forbid unions from making union membership or the payment of dues mandatory as a condition of employment. However, in California employees of our company who want a job represented by the union must be dues paying members of the union.

As someone else noted, the contributor probably was referring to "at will employment" laws where, so long as a contract that specifies the terms of employment is not in place to the contrary (e.g., Union agreements ), the employer or employee can terminate the work relationship at any time and for any or no reason provided. Now, if it was just that simple from the employer's side of the ledger... But, in theory, that's the premise.

As for rules against bicycles on company, city, state or federal property, you can't always assume. In most cases they don't exist, per se... but quite a few school districts in the US have prohibited bicycles on school property under the guise of liability concerns for injury on the school property, theft and extended liability for accidents that may happen en route to or from schools. Property owners are also free to prohibit bicycles, motorcycles, pick-up trucks, etc... for just about any reason: it's their property. If an employee takes exception, see 'at will employment' above.

Finally, without hearing the other side of the story (there are always two sides / versions of the truth to every story, sorry... that's just the way it is) I'd be hard pressed to offer any advice beyond verifying the policies and, in turn, using that Q&A process to remove that part of the issue. Again, no prohibition, ride your bike. As for the more inflammatory "harassment" angle and escalation, see comments above about the other side of the story: just not enough to go on here to encourage anything like that as I don't know if the OP is their best employee, their worst or what other agendas may be at play in the HR department of a school district. No offense to the OP intended... there's just too many unknowns here to suggest actions that could have a bearing on employment ratings and the like.