No and no. Your daughter lived at your home and her apartment during the year. A student is considered to have lived at home during the school year and maintains that residence. The student just happens to have a place near school for academic purposes. You supplied all homes, utilities, vacation, clothing, etc.
Scholarship income does not count in the support test. Page 14 of pub 501. Do not use scholarship income.
Take the short IRS quiz at Whom May I Claim as a Dependent? | Internal Revenue Service and use 2020 Publication 501 - Internal Revenue Service for help.
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