For the P0060 - It's saying something is wrong with the heater circuit on your o2 sensor.
The good news is that the downstream sensors are for emissions only. The bad news is you'll keep that check engine light until you replace it.
MOST LIKELY it is the sensor. However, if you want to be sure, swap the drivers side and passenger side downstream sensors. If the problem switches to the opposite side, then you know it's the oxygen sensor heater circuit.
I do a lot of calibration for the heater tests that we perform where I work (Engineer over oxygen sensor production), so essentially your computer does a check to verify that the resistance of the heater circuit is correct. It could be as simple as corrosion in the connector, or the heater could be going bad.
The other part (P2272) is saying that the sensor isn't reading correctly. They don't function well unless they are at proper operating temperature. If the heater resistance is wrong (too high), the sensor won't reach temperature quickly enough and it will cause the computer to throw a code.