The path seems to extend past the point. I have two paths and ideally I would like them to touch as in the end I would like them to be one single shape that I could fill in. But my paths clearly extend beyond the point in the image. How can I avoid this situation?
1) if you are sure your artwork is finished, go to Object > Path > Contour Line (outlines your paths) and then cut off the excess via pathfinder or manual editing. This makes it much harder to edit the path's shape in the future.
2) Instead of drawing one continuous path with 5 segments, draw 5 line segments. Then you avoid the spiking corners. Also makes it harder to edit the path in the future.