Maybe ... which state ?

Colorado (which is where all my income is from), and then the rest is all from a K-1 - AZ, CA, NM, OK

Colorado
The state of Colorado will automatically grant you a six-month tax extension of time to file. If you don’t owe any tax, you do not need to fill out a form or notify the Colorado Department of Revenue. The tax extension applies to Colorado Tax Form 104, but not to any state income tax you may owe. At least 90 percent of your tax liability must be paid by April 15 to avoid any penalties. Any remaining unpaid balance will be subject to interest charges only.

If you owe state income tax, you must send in Colorado Tax Form DR 158-I (Extension Payment Voucher for Colorado Individual Income Tax).

For the rest I doubt one baby K-1 form will require filing in any of the other states but you can check the link below.

Can I speak to a live agent?

Sure on Monday.

It depends on the state.

Many states acknowledge a federal extension while others have their own process.

To see how to file for an extension in your state, click the link below:

See this link to find your state.

https://www.irs.com/articles/state-tax-extension-information 

https://turbotax.intuit.com/tax-tips/tax-extensions/how-to-file-for-an-extension-of-state-taxes/L6Fm...