  We report updated measurements of branching fractions ($\mathcal{B}$) and
CP-violating charge asymmetries ($\mathcal{A_{\rm CP}}$) for charmless $B$
decays at Belle II, which operates on or near the $\Upsilon$(4S) resonance at
the SuperKEKB asymmetric energy $e^{+}e^{-}$ collider. We use samples of 2019
and 2020 data corresponding to 62.8 fb$^{-1}$ of integrated luminosity. The
samples are analysed using two-dimensional fits in $\Delta E$ and $M_{\it bc}$
to determine signal yields of approximately 568, 103, and 115 decays for the
channels $B^0 \to K^+\pi^-$, $B^+ \to K_{\rm S}^0\pi^+$, and $B^0 \to
\pi^+\pi^-$, respectively. Signal yields are corrected for efficiencies
determined from simulation and control data samples to obtain branching
fractions and CP-violating asymmetries for flavour-specific channels. The
results are compatible with known determinations and contribute important
information to an early assessment of Belle II detector performance.
