  We calculate the finite-temperature r-mode spectrum of a slowly rotating
superfluid Newtonian neutron star neglecting the entrainment between neutron
and proton liquid components (i.e., neglecting the off-diagonal element of the
entrainment matrix). We show that for `minimal' NS core composition (neutrons,
protons, and electrons) only two $m=2$ r-modes exist --- normal mode, which is
similar to ordinary r-mode in a nonsuperfluid star, and a superfluid
temperature-dependent mode. Accounting for muons in the core dramatically
modifies the oscillation spectrum, resulting in an infinite set of superfluid
r-modes, whose frequencies vary with temperature. We demonstrate that the
normal r-mode can exhibit avoided crossings with superfluid modes at certain
`resonance' temperatures, where it dissipates strongly, which leads to
substantial suppression of the r-mode instability near these temperatures. The
corresponding instability windows are calculated and discussed.
