How can I access Turbo Tax Deluxe to do a few more tax returns?

"You're not answering my question"    ----Do you mean the question you posted in the user forum less than five minutes ago?   

You posted your question from online Free Edition.  Do you want to upgrade to Deluxe?   Or do several returns using online Deluxe?

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

And just so you know—online prices go up in March—Pay your fee before then to lock in the discount

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

 When you use Desktop TurboTax, which you install from a CD or download to your own hard drive, you can prepare and e-file multiple returns for the cost of the software.  You can e-file up to 5 Federal returns—more if you mail the additional ones.  If you have multiple returns to prepare for family members, Desktop is more cost effective.

Desktop --unless you specifically buy federal  Deluxe only from a retailer-- will include the software for one specific state.   You can prepare as many returns for that state as the number of federal returns you prepare.  E-filing state returns is an extra fee which can be avoided by printing and mailing the states.   Additional--other--state software is an additional fee for the software.

https://ttlc.intuit.com/questions/1901306-how-many-times-can-i-e-file-using-the-turbotax-cd-or-download

https://ttlc.intuit.com/questions/2750704-what-are-the-advantages-of-the-turbotax-cd-download-software-over-the-online-version