You should place commas around a phrase the at adds additional information to the sentence, but which is not necessary.
1)<span>Tanna president of the National Honor Society truly enjoys volunteer work.
this part is not necessary, so commas are required before and after it
2) The old house, that my father grew up in, is being completely renovated.
here the commas are unnecessary! that's because we need the information in boldface to identify the house
4) </span><span><span>My sister, who is a waitress at Billy’s Big Burger Shack, is sixteen years old.</span>
this is a correctly punctuated sentence - the information about being a waitress is additional.
5) The bird that built a nest in the oak tree, appears to have an injured wing.
here either the commas should be removed, or another comma added after "bird"
</span>
The Four Corners monument in the Navajo Nation marks the
only place where four American states--Arizona, Colorado, Utah, and New
Mexico--are "<span>contiguous" which means they are sharing a common border. </span>
"<span>d. An author reveals character traits through actions, feelings, thoughts, and dialog" is the best option because it's the most common, but it should be noted that this is a creative decision. </span>