iPhone 5/iPad 3/4 Failing to Renew DHCP Lease

iPhone 5/iPad 3/4 Failing to Renew DHCP Lease

I just setup a Airport Extreme gen 6 (f/w 7.7.1). On it I have several
Apple devices including two iPhone 5s, iPad 3, and iPad 4 all on iOS
6.1.4.
I am able to open web pages through Safari on all devices but unable to
connect to the internet through any third party apps which is strange
enough. For example, I can open google.com but cannot refresh Twitter,
Facebook, Kindle, or Instagram through their respective apps. After
spending hours researching, I noticed that the IP Address, Subnet Mask and
Router fields are blank on the network's setting page while the DNS and
Search Domains fields are populated.
When attempting to renew the lease by pressing the Renew Lease button,
nothing happens. Even more strangely, settings flash in the blank text
fields when tapping in the fields but they never persist.
The Airport Extreme has been reset to factory settings (three times) and I
have only set the basic settings during the setup and extended the DHCP
lease duration. I am able to connect to the internet through the Airport
Extreme through a wired connection and my Mac Book Pro is able to connect
to the internet through the wireless connection.
What I've tried:
Factory reset of Airport Extreme
Reset of Network Settings on all iOS devices
Hard reset of all iOS devices
Any thoughts on why this is happening and what is the fix?