In theory, filling tires with nitrogen does not require an A&P since it falls under preventative maintenance. However if the aircraft is Part 135, Part 129 or Part 121 (which many turbine aircraft are) then an A&P is required. In practice, most FBO's have the nitrogen equipment under the control of A&P's and they won't want you touching their stuff.
Ah, no.
Applying compressed gas to a wheel assembly isn't preventative maintenance, it's servicing, and it may or may not require a mechanic. the presence of an AD may require a mechanic, as may the nature of the operation required to service the tire. Servicing the wheel assembly is more than merely inflating to a given pressure; a good inspection should be made of the tire and wheel and brake assembly any time that the pressure is checked or adjusted. Making even minor changes in pressure, up or down, has on occasion resulted in wheel explosions which have maimed or killed mechanics and line servicemen. It's not something to be taken lightly.
While 14 CFR 43 Appendix A cites removal, installation, and repair of landing gear tires as preventative maintenance (assuming no complex assembly operations are required), servicing of the tire is not listed. Further, the required tools, proceedures, materials, and publications (current and in-date) must be used, and the work must be done to publication specifications and industry standards.
Upon filling,the valve stem should be checked for leakage. Bolts, boltheads, nuts, cotter keys, fasteners, weights, etc, should all be checked for security and condition. The wheel assy should be visually inspected for signs of cracks, stress risers, etc. The bead area must be inspected for impact damage, nicks, thermal damage, etc. Thermal or blow plugs should be inspected. Brakes should be inspected for thermal damage, leakage, etc. If inflation charts apply due to ambient or wheel temperature, then these must be taken into account and applied both when checking the temperature, and when altering it by applying nitrogen or releasing it.
Most nitrogen bottles are filled to 2,000 or 3,000 psi. Improper use of regulated compressed gas can result in rapid overfilling, temperature changes that affect the inflating pressure (false readings), safety burst or explosion issues. Small wonder that many facilities don't want someone other than their own personnel using their nitrogen. Of course, use of oxygen in place of nitrogen, by mistake, can result in a deadly explosion at the time of filling, or in operation of the wheel assy.
It's more than just shooting in a little air. In some cases a mechanic may be required, in most cases, a mechanic should be used.
Ultimately, as several people have stated, it really comes down to moisture.
No, it comes down to manufacturer requirements and flamability issues. When a tire overheats (and considerable heat is generated from a normal landing, let alone an overheat condition from braking, stopping, taxiing, or operating under pressure), hydrocarbon gasses are released into the tire assy; this can become explosive. Mixing with high pressure air in a tire can result in ignition or explosion. Nitrogen is inert, and does not support combustion.
In 1987, AD 87-08-09 was issued by the FAA, for MD, Lockheed, Airbus, Boeing and BAE aircraft. It specifically calls for nitrogen or other inert gas having less than 5% oxygen, due to the possibility of a chemical reaction between tire gasses and oxygen.
Where an AD applies, a mechanic may or may not be required to perform the service and the attendant signoff; the AD will specify what can or cannot be done.
AC 20-97A discusses the fact that air diffused into a tire carcass lead to reduced tire life due to inner degradation and ply delamination.
Tire temp changes can be significant merely from taxiing, but numerous factors affect internal pressures and temps. A pressure drop means an underinflated tire, which will heat more rapidly than a properly inflated tire. More heat means reduced tire life, and an increase in the gassing process internally. Tire gassing is highly flammable. A 5 degree OAT temp change leads to approximately a 1% internal tire pressure change. The tire naturally diffuses, which occurs at a slower rate with nitrogen. Standard daily diffusion occurs at the rate of .02% in a 24 hour period, and specific allowable rates are specified in maintenance publications. The tire has vent holes which are part of the manufacturing process to release trapped moisture and gasses, which also lead to loss of pressure. Normal operation builds considerable heat.
Temps as low as 220 degrees F can significantly shorten the tire life. The bead area of an underinflated tire can become 50% hotter than a properly inflated one for any given operation, with respect to weight increases. Given that diffusion rate is greater for air or shop air than nitrogen, and that shop air supports combustion whereas nitrogen does not, little wonder that virtually all tire and aircraft manufacturers recommend or require the use of nitrogen in their products.