Is there a way to get them to snap into their lines or do I have to start over? And how do I avoid this next time? Very new to blender
I'm assuming that the green line is the Y axis, but if that's not the case change the axis accordingly.
Go to edit mode, select all and press S, Y, 0, Enter.
This will force all vertices to scale along Y axis until they share the same exact Y coordinate.
To avoid the problem in future, you have to understand the stroke placement options and the drawing plane options, that once you try a couple of experiments, should be self explanatory.
Another way is to clean up the drawning with the reproject strokes function: