"If I convert the mass of the particle to energy, it would seem the particle, as a particle, no longer exists."
Massless particles exist, John. They are called bosons. A photon, e.g., is a boson. Massless particles account for energy exchange among massive particles. Now, if a particle with mass -- a rock, say -- is endowed with kinetic energy by being thrown or pushed down a hill, its mass increases by an amount proportional to the kinetic energy. When it comes to rest relative to the ground, its rest mass (also called inertial mass) is the same as before it was in motion.
"We already went through why a moving clock goes slower, but as I keep arguing, time is only a function of the form, since as you observed up thread, the energy is conserved."
The energy is conserved as a function of the laws of motion, not as a "function of the form," which doesn't mean anything at all.
"So only form can age. Now if the particle is converted entirely to energy, say throwing a log on the fire, therefore converting rest energy to light and thermal energy, the life of the log would seem to be cut shorter than one not converted to energy."
John, a massive particle cannot be totally converted to energy -- that's what special relativity explains. A log doesn't live any longer by escaping the fire; it only oxidizes and decays at a slower rate relative to the burning log because the initial conditions (burning vs not burning) are different. Fire converts the mass of a log to energy at a faster rate than one not burnt, though an unburnt log of equal mass does not possess any more or any less potential energy at rest. Conservation of energy does not mean "conservation of form" -- it means that all the energy books are balanced.