Adoption Credit 2017 and 2018, for 2018 tax return?

We started the adoption paperwork / applications / home study back in 2017 and the cost was about $4,000 (entire year in 2017); but we did not file it with the tax in April 2018.

 

Then we got the baby in Nov 2018 and everything finalized (still waiting for the birth cert, etc); the total cost in 2018 (including travel expenses, court fee, attorney fee, etc) that listed in the eligible items were total about $14,000.  This is a domestic adoption. 

 

Is this going to be correct if we put the max amount for the 2018 tax which is $13,840. and carry forward the remaining ($4,000) to next tax year 2019?   Our current income taxable amount is about $16,000 (we still have some medical bills and other charity items to be added). 

 

While using the turbo tax, we finally able to get the adoption credit form works (clicking different boxes); but it seemed that the form did not limit our amount to $13,xxx since when we put down 18,xxx, it was allowed to do so.  

 

And thanks everyone in advance if you have suggestion or recommendations.