Two ways for speeding up.
One is the traditional motion effect. It’s in the command palette.
The other is the Timewarp effect you will find in the Effects Palette under Timewarp. This one you can modify at will, with keyframes and anchor points to perfect motion changes. It has various render types of which Fluid Motion is the smoothest (but the longest render as well).
AS for deinterlacing, the easiest is to apply a (100%) timewarp where you set the source to interlaced and the output to progressive. Choose Blended Interpolated or FluidMotion as the render type. You could go with single field, but that means tossing out half the vertical resolution.