The total amount of stimulus payments you are eligible for is based on the information in your 2020 tax return. Your amended 2019 tax return is not relevant. Everything is based on your 2020 tax return.
If you claim your son who is age 16 or under on your 2020 tax return then you would be eligible for the following amounts.
Round one: $1200 plus $500 total $1700
Round two: $600 plus $600 total $1200
Total eligible amount for the Recovery Rebate Credit on your 2020 tax return is $2900.
That $2900 credit is then reduced by any amounts you actually received. So if you received 1200 and 600 (1800 total) then your credit will be reduced to $1100 on your tax return.
You are not going to receive any future stimulus payments based on your amended 2019 return.
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