According to the section of IRS Publication 519 for Dual-Status Aliens:
"If you meet both the substantial presence test and the green card test, your residency starting date is the earlier of the first day during the year you are present in the United States under the substantial presence test or as a lawful permanent resident."
Use that as a guide for when your became subject to Social Security/Medicare taxes.
If your Social Security/Medicare wages were not reported correctly, consult your employer about obtaining a corrected W-2 for the year. Use that corrected W-2 and your original W-2 for TurboTax entry.
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