They could be related. P0135 is a B1 S1 heater circuit malfunction. Could be the heater wires got close to the exhaust or to a spot on the block and melted/rubbed through the insulation. That short could be why the battery will not charge, because a short is pulling all the power.
I would start with a visual inspection of the O2 sensors wiring and see if you locate a bare spot, start at the sensor and work up the harness.
Wednesday, May 31st, 2017 AT 1:40 AM