there is likely a way to do this with transformations. but what we would do and i think what ronny is suggesting is to merge the total station point stn1.1 to the gps point stn1. to do the merge you just change the name of stn1.1 to stn1 and tbc will prompt to merge them together and you say yes. does not matter if you do it in points or down in the observations, i don t think anyways.
then we would delete the 1000/5000 coordinate that the data collector stored for the initial total station setup and all other coordinates the data collector stored because we want the raw observations to be used and tbc will flag the shift from the data collector coordinates to the new georeferenced correct coordinates. select all, then advanced select, dropdown for coordinates, open dropdowns to the imported files and right click on the coordinates that should be highlighted and delete.
also you will need to delete the azimuth record, because usually tbc will hold this and not let it rotate.
at this point hopefully you can compute the project and the total station should now fall on the gps points. we have not worked this way in a long time, but there used to be a problem if you did not have gps ties on the first total station setup and backsight points then tbc would have a hard time starting the process because it no longer new what to start the total station on. so hopefully your gps is the first two points. if not then you can trick tbc to start by giving it false coordinates near where your total station should start(click on the screen somewhere close) and same for the backsight. give these points unknown quality. give the gps points control quality. run a network adjustment holding the gps control. you will get new starting points for the total station. change the starting total station points to what they should be, again keeping them as unknown quality and run the network adjust now holding how you want to constrain your network. (i guess some of this could have happened before you delete the data collector coordinates as another approach, but the flags tbc will throw will be larger).
you can save a lot of hassle if you measure the gps points first then use these coordinates for the total station work. you can even use the same point numbers and tbc will merge, but we do not because we like to be able to see the deltas easily by inversing.
hope this helps a bit.