What would cause CEL codes 300 301 303 305 and 135 to appear together?

The code P0135 is heater circuit code for a O2 sensor heater circuit. It has no connection to the other codes and generaly does not cause running problems. The other codes are all missfire detection codes and are connected probaly to what ever your running problem is. I think you should have the shop that did the work take a look at it.

have a look at Diagnostic Trouble Code Table, you can find what's wrong with your car. http://chinasinoy.com/upload/service/diagnostic-trouble-code-table-02.pdf