To fix a snag like the ones above, pull from location 1 & 2 at the same time, making sure you are pulling the same fibers but on opposite sides of the snag. This will straighten the material and re-align the weave.
Then pull from location 3 & 4 at the same time making sure to pull the same strands, but on opposite sides of the snag. Once you do these locations, go along the other axis and pull straight.
This process can fix about 95% of simple issues.