Can I simultaneously remove salt and pepper noise and improve the image resolution?
If you use two linear filters, they could be combined (because of linearity, the convolution with the convolution of the two filters equals to the consecutive convolution with the two filters).

$(I*a)*b=I*(a*b)$

Nevertheless the simplest way to deal with salt &amp; pepper noise is median filtering, which is non-linear. If you use linear filters it is possible.