All language is in transition over the course of history, and we can observe such a transition with the Oxford comma. Magazines often follow the style that it's best to remove any comma that is unnecessary for clarity. Someday, this standard may become an American English convention, but for now, the two options are equally valid.
I agree with the previous answer: it's best to use the Oxford comma to avoid ambiguity (and there are many writing situations that would support this), but as you decide whether or not to use this traditional English comma standard, you should always follow the assignment's leader (teacher, boss, school standard, or specific instructions), so if you get a job at a magazine, you may find they won't use the Oxford comma.
On the SAT, you will find that the Oxford comma is used, but the test writers avoid testing specifically on rules that are in nonstandard or in transition. So, the SAT tends toward the Oxford comma; however, at least for now, you won't be specifically tested on that.
One more thing to consider: even though you may find the Oxford comma is optional, it's important to be consistent throughout a paper. "Optional" does not mean you may choose which rule to follow for each sentence.
Cristina N.
Or you could just say, "I want to thank Eric, Molly and my parents.08/18/20