Can I declare my nonresident alien children as my dependents and claim child tax credit & claim for the stimulus fund credit

I am on L1 visa & my wife & child are on L2 visa. As per the Substantial Presence Test me and my wife are resident alien considering our presence in the previous years(2019, 2018, 2017), but our child travelled to the US for the very first time on 19th Sept,2020 (born in 2020). I have a couple of questions : 

 

1) Will i be able to claim my child as dependent for child tax credit ? As per the definition of "first year choice" in pub 519, I believe I can claim dependent once my child pass the SPT in 2021 which will be on 26th May,2021. So I'll have to apply for a filing extension and file for my taxes post 26th May,2021. Can you please confirm ?

  

2) My child still do not have an ITIN (I am planning to apply one along with my returns with w7). Will i be able to claim for the stimulus fund credit(recovery rebate credit) for my child ?