Your Honda Civic does not necessarily have to be junked because it can't pass the smog check. California has a CAP (Consumer Assistance Program) which can help you get your Honda Civic to pass the smog check, or offer you a one time waiver.
CAP can offer you up to $500.00 in free smog check repairs, and after the $500.00, if you are unable to perform the additional repairs (if required) because of economic hardship, it can offer your Honda Civic a one time 2 year smog check waiver.
Learn more about the CAP Program and see if your vehicle will qualify.
As far as trouble code P0135. It means there is a problem with your Honda Civic oxygen sensor's heater circuit. This is almost always a fault directly with the oxygen sensor or its wiring; as opposed to a oxygen sensor fault where the O2 reading are not accurate, such as trouble code P0133. With inaccurate or slow O2 reading, the problem is harder to find due to the readings being dependent on air/fuel mixture. With P0135, the fault is cut and dried.
Hopefully since replacing the O2 with an OEM oxygen sensor and having checked the wiring for breaks and/or shorts, your Honda Civic's check engine light will not turn back on.
