Absolutely lose those base resistors, you want to minimise the voltage
across the transistor when on(*), which means bring the base right up to 5V
You still lose a forward diode drop at full current though, so check the power
dissipation is within limits. With a proper PNP high-side switch you'd get
saturation and ~ 0.1V drop.
(*) and the variation of that voltage with load current.