We report on the dynamic as well as static properties of vortices in the low-temperature ($T$) solid phase of a thick amorphous Mo$_{x}$Ge$_{1-x}$ film with weak pinning. The vortex-solid state is considered to be a weakly disordered vortex lattice, which is inferred from the mode-locking resonance over the broad field region. The peak effect of the critical current $I_{c}$ with magnetic field is clearly visible down to the lowest $T$ measured (0.2 K), which corresponds to 3.3 $\%$ of the superconducting transition temperature. We find that largest voltage noise originating from current-driven vortices appears in the field region just prior to the peak field at which $I_{c}$ takes a peak. This is in accord with the result reported in NbSe$_{2}$ single crystals.