Yes, you can take both credits if you're eligible.
Under the expanded Family and Medical Leave Act (FMLA) provision of the FFCRA, you would be eligible for qualified family leave for each day that you were unable to work because
- you were caring for someone else impacted by COVID-19 (up to 10 days), or
- your child's school or child care provider was closed or unavailable due to COVID-19 (up to 50 days).
You can claim a tax credit for the lesser of $200 per day or 67% of your average daily self-employment income for the year per day.
AS for the Child tax credit and EITC, sometimes bigger AGI gives you bigger credits, or it could be similar amounts.
