When I purchased this car (87 Prelude 1.8L Dual Carb), the owner said it had "trouble staying on" and thought it needed a carb rebuild. After I purchased the car turns out all it needed was adjustment (turning) of the distributor to get it started. I drove the car fine like that for several days but noticed sometimes it would hesitate and jitter when driving or having my foot on the accelerator. I did occasionally have issues starting the car at times as I would press the accelerator to get it to start. A few days ago I tried to start the car and it would not start. The same day I had driven it shortly and it started up fine but had a little bit of hesitation when accelerating. After moving the distributor I got it to run again but when I would press the accelerator to kick it down off of the choke it would slowly loose rpm until it chugged and stalled. Even when placing the distributor in one position and turning the car on and off, sometimes it would start and other times it would be difficult. My father is thinking about replacing the distributor as he believes that could be the issue. Previously, I had driven the car and it drove fine and idled around 1200 (little high) which makes me think it is not a vacuum leak that is causing starting issues. My father asked me if the car had a crankshaft position sensor but I don't believe it does (does it?). So my questions are this:
Is it likely that the distributor is causing this issue of the car not starting reliably?
Can it also be causing the hesitation when accelerating?
Does it have a Crankshaft position sensor or something similar that could be causing the issue?
Is there anything else I should check for?