After $28$ years of service with the State of California, Elizabeth retired in January of $2023$ and moved to Utah on May $15.$ Her income was $$3,900$ a month from her state pension $($paid on the last day of each month$)$ and $$1,200$ in interest from a savings account in a California bank $($$$420$ received while in California and $$780$ after moving to Utah$).$ Which of the following statements is correct?

Elizabeth's part$-$year California return $($Form $540$NR$)$ should show $$16,020$ California$-$source income. $($$$15,600$ income from her pension and $$420$ interest credited to her savings account while a California resident.$)$

Elizabeth's part$-$year California return $($Form $540$NR$)$ should show $$47,220$ California$-$source income, because her state pension is from a California source. $($$$46,800$ California pension plus $$420$ interest.$)$

Elizabeth's part$-$year California return $($Form $540$NR$)$ should show $$48,000$ California$-$source income, because both her pension and her interest have a California source. $($$$46,800$ California pension plus $$1,200$ interest from the California savings account.$)$

Elizabeth does not need to file a California return since she became a nonresident during the year.