Can I file 2 additional Federal returns through my purchase of Deluxe?

When you use Online TurboTax, you get one return per fee.  Each return needs its own account and user ID.   If you use the same account and user ID for a second return, you overwrite the first one and lose it forever.

https://turbotax.intuit.com/personal-taxes/online/

https://ttlc.intuit.com/community/using-turbotax/help/how-do-i-start-another-return-in-turbotax-online/00/25596

Online is only good for one return per account. But you can use the same email address for 5 accounts. Online is only good for 1 return per account. So don't use your account or you will overwrite your return.

Start another Online return here. Sign up and start a new account.
https://turbotax.intuit.com/personal-taxes/online

The Desktop program can do unlimited returns and efile 5 federal for free. You can buy the Desktop CD or the Download program here,
https://turbotax.intuit.com/personal-taxes/cd-download

Deluxe also comes in a desktop version. is that what you are asking about?