I filed exempt on my job for 10 months will i owe the irs event is i am eligible to receive child tax credit?

[Hal_Al]

Probably not, but there are too many variables such as the type of income, your exemptions, filing status, other credits, withholding etc., to answer your question. To preview your federal tax result, use this tool:
https://turbotax.intuit.com/tax-tools/calculators/taxcaster/?s=1