I don’t see any problem, what you are seeing is the rats nest lines formed by the connections in schematic. If you double click on a rats nest line it will create a trace. Once the trace exists you can click on it and drag it to where it needs to be to make the routing work. Here I have double clicked on one rats nest line in pcb to create a trace:
As it stands it is difficult to route the trace because Fritzing will select and create one of the other rats nest lines. So click View->Ratsnestlayer which deletes the rats nest lines from the view for the moment and then click on the trace and drag it to the correct position like this:
Of note here is the two end pads are green rather than red, which indicates you have the net properly connected (red would indicate the trace is not complete, which may happen if you click on an end point and drag the resulting trace to a new end point, clicking on the rats nest lines is a better bet.) Now click View->Ratsnestlayer to show the rats nest lines again and do the next connection. If you (as I often do) get two rats nest lines, you can right click on the trace and then Delete to delete the wire, or just drag it out of the way and route the original trace, then do the second one when the first is done. The thing to avoid is making changes in more than one view (i.e. schematic and pcb) because if you short two connections together that shouldn’t be connected you can corrupt the routing database unrecoverably and have to delete all the traces (sometimes in all views) and start the sketch again. Best practice is what you look to have done, finish one view (schematic in this case), then take a backup copy of it for safety in case you screw up, then move on to the other two views and click on rats nest lines as they are showing the correct connections (i.e. don’t route traces where you think they should go as you may create shorts as noted.) Once you have the board routed, you should export the gerber files (File->export-> for production->Extended gerber) and use a gerber viewer such as gerbv to verify the gerbers are correct (there are some Fritzing bugs which will look fine in Fritzing but generate invalid gerbers.) If you post the finished fzz file I’d be happy to look it over for you.