The boolean operation (cut) you've done for the for the slot is fine, but CadQuery does not put a heavy focus on boolean operations like OpenSCAD does. For creating the holes, the workflow is typically more like the following.
1. Select a face
2. Create a workplane
3. Move to the point where you want the hole (or use pushPoints to place all the points at once)
4. Create a circle
5. Use cutBlind or cutThruAll to cut the hole(s).
If you place a circle on a face and perform a 3D operation using the circle, a new workplane is returned that you can continue to build on. That's why I do parabola= in two places below. I took some things out of your code and simply placed a hole to illustrate some things that might help.
spPoints=[ (-20,100), (-30,80), (0,0), (30,80), (20,100)]
zipTieSlotCutter=cq.Workplane("YZ").box(10,3,300).translate([0,75,0])
parabola=cq.Workplane("YZ").rect(5,20).sweep( cq.Workplane("XY").spline(spPoints)).cut(zipTieSlotCutter)
parabola = parabola.faces(">Z").workplane(invert=True).moveTo(2, 1).circle(1).cutBlind(10)
show_object(parabola)
Notice the invert=True inside of the workplane creation. If CadQuery gets the normal wrong, the hole cut will go away from the face instead of down into it. You can use invert to flip the normal and get the hole to work. The moveTo() could be replaced by pushPoints() to place all the points for the holes on the face at once. Then the following circle/cutBlind calls would put holes at all those locations at once.
I noticed that the parabola profile of your object was different in CQ and that you had used a spline (probably for simplicity). As an alternative if you don't need your profile to be parametric, you could draw your profile as a DXF, import it into CadQuery, and extrude it. If you place the circles for the holes in the correct positions in the DXF, CadQuery SHOULD see that those wires are inside the main profile and make them holes during the extrude operation. You'll end up with all thru holes though, and I think your FreeCAD-created object has mostly blind holes.