Filing Extension Online for Multiple People Requires Printing Form 4868 and Mailing it?

I am using Turbo Tax Premium to file for myself/wife, kids and a parent. I need to file extensions for everyone.

 

Within the program, it creates Form 4868 with instructions to mail it along with payments, as needed. That seems very primitive. 

I was then pointed to this Intuit site to submit it electronically, which I guess is a service they offer to everyone regardless of whether they purchased the product or not: https://easy-extension.turbotax.intuit.com/

I was able to do that for myself after entering information that the desktop product already has and purchasing the free version of TurboTax. But when I go back to that site to submit the extensions for other family members, I can't do so. Do I need to create a separate login for each person and purchase the free version for each of them? Can I use my contact email and phone for all of them or do I have to coordinate with each of them?

 

The IRS has this place to file and pay: https://directpay.irs.gov/

But if you don't have anything to pay, it won't work, and you can't pay unless you have historic information on their past filings to verify your identity. I simply want to enter the SSN and payment. 

 

So is printing paper and mail the best TurboTax has for my situation?