All 4 O2 sensors failed at same time

P0037 HO2S Heater Control Circuit Low B1S2

https://www.obd-codes.com/p0031 Check for a fuse bing blown , Heater circuit shorted in O2 sensor blowing the fuse , maybe . You don't say what make , model an year vehicle an engine size .

http://www.autocodes.com/popular_codes_make.php?make=DODGE, try to look up the codes under the autocodes.com, this site can help you find the code and give you help to fix it, also look for the ground wires and they are grounded to the engine and body

Check the relays and fuses for the H.E.G.O (heated oxygen sensors) for power and function.

Get a scanner and have a ck

Trouble code P0031 means: Oxygen Sensor Heater Control Circuit Low - Bank 1 Sensor 1 .
Error code p0051:replace O2 sensor ($75-150 depending if OEM) before catalytic converter. need O2 socket ($10) to get at and tough to get to if vehicle isn't at least on a ramp.

i would point to the actual fuel pump when they go weak they cannot supply enough fuel and it will miss and set o2 faults fuel filters usually cause a jerking under a load and will lose all power

What does that mean? A P0031 DTC (diagnostic trouble code) refers to the O2 sensor (oxygen sensor) located on Bank 1 in front of the catalytic converter. There is also an oxygen sensor behind the converter which is Sensor #2.
This O2 sensor #1 may also be refered to as an air/fuel ratio sensor since on some vehicles it is. It detects the amount of oxygen in the exhaust gas compared to the outside air and then vehicle's computer adjusts the air/fuel ratio going into the engine. The sensor is less effective when the exhaust gas temperature is low, so it includes a heater which is activated to help get better readings from the A/F O2 sensor. Essentially this P0031 code means that the resistance of the heater circuit is lower than normal. In most cases, that resistance level must fall below 0.8 A to trigger the DTC code.
Note, this code is very similar in nature to P0032, P0051, and P0052

Potential Symptoms Most likely you'll not notice any symptoms other than the MIL (malfunction indicator lamp, a.k.a. the check engine light) will illuminate.
Causes A P0031 DTC trouble code may be caused by one or more of the following:

• A short or open in the heater circuit in the sensor
• A failed O2 sensor heater
• Wiring/connectors broken/frayed leading to sensor and/or relay
• Failed PCM/ECM

Possible Solutions Need an O2 Sensor? Visit our O2 Sensor shopping area for the lowest price on your replacement sensor!
To fix a P0031 DTC code, you'll need to do a proper diagnosis. To do that, you'll want to inspect the wiring and connectors leading to the sensor. Also if equipped with a heater relay and fuse, you'll want to check those as well. Use a digital volt ohm meter to:

• check for 12 volts at the heater circuit feed (hint: unplug the sensor and check at the wiring connector to do this measurement)
• check the ground circuit for continuity
• measure the resistance of the heater circuit (done on the sensor itself)
• measure the resistance and voltage of the wiring

Refer to a service manual for the correct specifications (volts, ohms) for your vehicle. On some Toyota vehicles this code is triggered when the resistance of the heater circuit is below 0.8 A.
With that said, a common fix for this DTC is to replace the air/fuel (O2 oxygen) sensor #1 on bank 1.
Please keep in mind that OEM (original equipment) replacement sensors are recommended (from the dealer). Aftermarket sensors can be less reliable and of poorer quality (not always, but more often). There's also a chance that replacement parts for the P0031 code may also fall under a federal emissions warranty (check with your dealer to see if it's covered).

P0016 - Crankshaft Position Camshaft Position Correlation Bank 1 Sensor A
P0030 - Heated Oxygen Sensor (H02S) Heater Control Circuit Bank 1 Sensor 1
P0031 - Heated Oxygen Sensor (HO2S) Heater Circuit Low Voltage Bank 1 Sensor 1
P0032 - Heated Oxygen Sensor (HO2S) Heater Circuit High Voltage Bank 1 Sensor 1
P0036 - Heated Oxygen Sensor (HO2S) Heater Control Circuit Bank 1 Sensor 2
P0037 - Heated Oxygen Sensor (HO2S) Heater Circuit Low Voltage Bank 1 Sensor 2
P0038 - Heated Oxygen Sensor (HO2S) Heater Circuit High Voltage Bank 1 Sensor 2
P0050 - Heated Oxygen Sensor (HO2S) Heater Circuit Bank 2 Sensor 1
P0051 - Heated Oxygen Sensor (HO2S) Heater Circuit Low Voltage Bank 2 Sensor 1
P0052 - Heated Oxygen Sensor (HO2S) Heater Circuit High Voltage Bank 2 Sensor 1
P0053 - HO2S Heater Resistance Bank 1 Sensor 1 (PCM)
P0054 - HO2S Heater Resistance Bank 1 Sensor 2 (PCM)
P0056 - Heated Oxygen Sensor (HO2S) Heater Circuit Bank 2 Sensor 2
P0057 - Heated Oxygen Sensor (HO2S) Heater Circuit Low Voltage Bank 2 Sensor 2
P0058 - Heated Oxygen Sensor (HO2S) Heater Circuit High Voltage Bank 2 Sensor 2
P0068 - Throttle Body Airflow Performance (PCM)
P0100 - MAF Sensor Circuit Insufficient Activity

these codes are o2 sensor related need to get dealership to check out

Have you cleared the codes at least once?
The new o2 sensors should have removed all those codes.The sensor closest to the engine b1s1 may be defective.Check wiring and plug to that one closely.