Stimulus Checks for mixed family

Hello,

I am working on an H1B visa with a resident alien status for tax purposes. I was single during the 2019 tax year therefore, I filed Form 1040 as a single in April 2020.

 

In the March of 2020, I married a nonresident alien. This year I will be filling jointly with my spouse, and I will be applying for an ITIN number using the W7 form. I received both $1200 and $600 stimulus checks. Turbotax tells we are eligible to receive another $1800 as a family, I doubt that since my spouse is a nonresident alien. My question is, somewhere I read CARES act doesn't let mixed families like us get $1200 stimulus checks? Is that true? Do I need to return my $1200 back to IRS? Thanks