Thanks, that's a lot easier to read.
The resistors are required to absorb the energy (damp the resonance) of the capacitor and motor inductance. A pure LC circuit would ring at higher voltages, not lower.
When hard switching on, the snubber sees the rate of rise and draws some (smaller) current. It's usually not significant and I apologize for introducing second order effects before adequately explaining the prime factors.
The snubbers across every diode are IMO overkill. A simple RC snubber across each motor winding is enough. That snubber should be enough to absorb the energy available between the cutoff of the winding power and the turn-on of the diode.
General terms of the snubber: If the winding is carrying 1A at 12V, then the resistor might be 12 ohms (limiting the basic rise to [Vcc +12V], or 24V). If the diode turn on time is 12 nS, then the RC time constant needs to be less than that. This gives a capacitance of about 1nF. If this occurs every 1us, then the resistor average power is estimated by 12W*12ns/1us, or 144mW. Substituting a slower diode increases the resistor dissipation dramatically.
A snubber on the Vbat is counter productive. Better to have a low ESR ceramic directly across the 1000uF electrolytic.
Capacitors across brushed motors suppress noise because the leakage inductance is generally less significant with respect to the winding resistance.