  We show how the scales responsible for Peccei-Quinn (PQ), seesaw, and
Froggatt and Nielsen (FN) mechanisms can be fixed, by constructing a compact
model for resolving rather recent, but fast-growing issues in astro-particle
physics, including quark and leptonic mixings and CP violations, high-energy
neutrinos, QCD axion, and axion cooling of stars. The model is motivated by the
flavored PQ symmetry for unifying the flavor physics and string theory. The QCD
axion decay constant congruent to the seesaw scale, through its connection to
the astro-particle constraints of both the stellar evolution induced by the
flavored-axion bremsstrahlung off electrons $e+Ze\rightarrow Ze+e+A_i$ and the
rare flavor-changing decay process induced by the flavored-axion
$K^+\rightarrow\pi^++A_i$, is shown to be fixed at
$F_A=3.56^{+0.84}_{-0.84}\times10^{10}$ GeV (consequently, the QCD axion mass
$m_a=1.54^{+0.48}_{-0.29}\times10^{-4}$ eV, Compton wavelength of its
oscillation $\lambda_a=8.04^{+1.90}_{-1.90}\,{\rm mm}$, and axion to neutron
coupling $g_{Ann}=2.14^{+0.66}_{-0.41}\times10^{-12}$, etc.). Subsequently, the
scale associated to FN mechanism is dynamically fixed through its connection to
the standard model fermion masses and mixings,
$\Lambda=2.04^{\,+0.48}_{\,-0.48}\times10^{11}\,{\rm GeV}$, and such
fundamental scale might give a hint where some string moduli are stabilized in
type-IIB string vacua. In the near future, the NA62 experiment expected to
reach the sensitivity of ${\rm Br}(K^+\rightarrow\pi^++A_i)<1.0\times10^{-12}$
will probe the flavored-axions or exclude the model, if the astrophysical
constraint of star cooling is really responsible for the flavored-axion.
