The OP should, IMHO, not go overboard with this. My former science teacher, in an attempt to get people using mass instead of weight, actually used mass all the time, even when weight was the correct term. For example, she said something like "objects with more mass are heavier," when how heavy an object is has to do with weight. Whether this is to technical or not, instead of saying "mass is generally the correct term" as I viewed the post implied, just know the difference between mass and weight.
Also, learn the "second part" of Newton's third law-- third law pairs must be the same type of force (i.e. gravitational, tension, contact, electric, etc.), which will show you that the normal force (a contact force) is not the third law pair of mg*cosθ (a gravitational force), though they are equal and opposite. There are many misconceptions about the third law, many of which have been mentioned. I'd pay extra close attention to all of them.