Stupid Light Keeps Coming Back On

What is your question?

P0410 . Secondary Air . I have replaced the Idle Air Valve at the carb. throat , that was fun . I have replaced the Air (smog) pump itself and the solenoid next to it along with the rubber hoses connected to it . Everything seems fine for a while , but , eventually the check engine light comes on again and when i check...the computer says it's still the secondary air system . I don't think there's anything left to replace in the system ....and by the way...sometimes when i come to a slow stop , the engine quits ..but starts right back up .