For the offset images, open them in animations editor and look at the origin point of those traps, it is not in the centre. You can right click origin and quick assign to the middle.
For movement anything would really work for this game even as a bullet behaviour could work unless there are specific gameplay elements to do with paths other than moving in a straight line? If it should stop when colliding with certain things you can do this with events.
Tracking statuses, such as ?
For the building spot, first change the condition to pick the Trap object, not system condition for hp. Then you can say 'Trap is overlapping BuildingSpot', this will pick the correct one.