Your sketch obviously is badly warped when compared to the measured set of points. You want to move the markers of the measured points in the sketch to the exact measured plane positions and you hope a way to force the rest of the sketch to follow i.e. to get stretched and squeezed so that the sketch still keeps its local forms.
Such tool exists, but it's not in Inkscape. You need Photoshop. Its Puppet Warp does what I assumed you expect. You must have the exactly measured points as brightly colored in the top layer, which is otherwise transparent. The sketch is in the bottom layer.
Then you take the bottom layer under Edit > Puppet Warp. You insert warp control points to the sketch near the markers of the sketched places of the measured points. Then you drag the control points until the sketched markers are near enough the exact measured points.
The result is a bitmap, but you can redraw the fixed sketch in Inkscape.
There are numerous other bitmap image warping tools which use movable control points. People who make photos to lie or convert them to caricatures use them frequently. I have only Photoshop for such purposes.
Simplest photo warping applications do not allow a separate reference point layer. That makes them useless for your job.
Photo morphing programs do more than only warping. They interpolate intermediate versions so that one can get a continuous transformation video. A photo morphing program can also be used if it allows a separate reference point layer.
Let's assume you have finally succeeded to warp the sketch so that the measured point and their sketched markers meet. Then you may have a temptation to measure something from the warped sketch. Do not assume something else in the cave than just the measured points can be measured with some known accuracy from the sketch. The warped sketch can be used only for visualization.