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Help with op-amp circuit LM358

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I am simulate a circuit using LM358N op-amp to amplify the signal from the IC timer NE555P and then using that amplified signal to switch the LED by a transistor switch.

In theory, I think that when the switch key is off, there must be no signal go through LM358 and no signal go to the B-pin of the BJT, so the LED will be on due to BJT switch but in practice, when I switch off the key, the voltage at the B-pin of BJT is still 1.58V and it causes the LED on.

I attached the image and my simulation here, please take a look and any help will be appreciated.

Thanks in advance.

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Solution
Accepted by topic author Quanneko

If you use your probe tool and measure the unterminated non-inverting input pin of U3A, you will see ~800mV which is the input offset voltage.  This is being amplified and is why you are seeing ~1.6V. Best engineering practice is to not leave input unterminated so add a 1Kohm resistor to ground at the non-inverting input pin of U3A. Now measure the input pin and see the difference.

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pin 4 need to be VEE, not VCC. -10.0 V that's all 

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