Sonata NF (2006-10) :: Malfunction Indicator Light (MIL) Does Not Work?

I am trying to diagnosis a new issue on my 2006 V6 Sonata . I plugged in my code scanner which gave back MIL Status as ON, but there was no Check Engine - Malfunction Indicator Light (MIL) lit up on the instrument cluster. It also showed that the EVAP, CAT and O2S was "Not Ready". When I checked the codes, I had P0031, P0037, P0051 and P0057, all of which are tied to Low Heater Circuits in the O2 sensors. When I checked the cables under the hood, the lower O2 sensor cable closest to the firewall was stuck onto exhaust pipe. It easily pulled free but I tried clearing the codes but the same 4 codes remained. I checked the resistance across the heater control and ground circuit, all 4 O2 sensors were around 10 ohms.

There seems to be several issues:

1) Why doesn't the instrument cluster register the MIL status as ON and display this Check Engine Light?
2) Why are the EVAP, CAT and O2 "Not Ready", I've heard that these are sometimes tied to disconnecting the battery. I've put almost 3K miles on the vehicle since the battery change.
3) OBD Codes P0031, P0037, P0051, P0057, I would expect all O2 sensors to fail at once, is there a fuse or other control that needs to be replaced or reset?

I am trying to get everything ready for emissions testing on this recently purchased 06 Sonata and I am thinking these issues will cause it to fail.