Originally Posted by
QuiltnNan 
I found that my points were much better when I sewed them with the point pieced fabric on top.
Originally Posted by
PamelaOry
What is the "point pieced fabric?
Answer: If you are sewing a piece with half square triangles to a plain rectangle, put the piece with the half square triangles on top. This is helpful, because you can see where seams intersect, and more easily see where exactly you should be sewing.
As for why fabric keeps pulling to the left for you, it may be due to right side feed dogs being able to grab onto no fabric or very little fabric. I think most sewing machines are designed for the wider seam allowances of garment sewing or other types of sewing, rather than the 1/4 inch seam allowance commonly used by quilters. Using a walking foot may help with this. I find using a physical guide helpful to keep the fabric feeding in straight and with a consistent seam allowance. I like using a small stack of post-it notes secured down with some packing tape. Some folks like using mole skin or mole foam (both are products intended to prevent blisters), and there are other strategies.