If you can feel it change thru all 5 gears up and all down and shift into everse then the tranny and linkage is fine. Since it's not moving you may you may need to roll the bike back and forth to complete the change before going to another gear. Since this is a manual shift bike it is not good at all if it won't change gears. You'd need to pull the front cover and inspect the linkage and if nothing found then you'd need to split the cases to get to the tranny and shift forks.
I have no idea what the pull rope would have to do with it but it would have made a horrible noise if it bound something internally.
I have no idea what the pull rope would have to do with it but it would have made a horrible noise if it bound something internally.