No, you do not need to amend your tax return for either the CTC or the unemployment compensation exclusion.
Go to these IRS website for CTC information -
https://www.irs.gov/newsroom/irs-monthly-child-tax-credit-payments-begin
https://www.irs.gov/credits-deductions/2021-child-tax-credit-and-advance-child-tax-credit-payments-f...
Go to these IRS website for unemployment compensation exclusion information -
https://www.irs.gov/newsroom/irs-readies-nearly-4-million-refunds-for-unemployment-compensation-over...
https://www.irs.gov/newsroom/irs-begins-correcting-tax-returns-for-unemployment-compensation-income-...
https://www.irs.gov/newsroom/2020-unemployment-compensation-exclusion-faqs
