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Hello Mike, my name is ***** ***** I am a professional here at Just Answer. I have noticed that your question was not getting a response and thought I would see if you still need help with this.I apologize for the delay and I hope I can still assist you with this here. Lets start first with having the computer system scanned to see if there are any fault codes setting. Anytime the engine is misfiring the computer should detect this and set and store a fault code and or codes. Most auto parts store such as Auto Zone will run a scan for you at no charge. Post back with the results and we can work from there.
I would check the fuel pressure while the problem is occurring before replacing the pump Mike.