Hesitation while accelerating?

Reading the diagnostic fault codes is always the place to start, but keep in mind, they never say to replace a part or that one is bad. They only tell you the circuit that needs further diagnosis, or the unacceptable operating condition. Codes also need to be read when the Check Engine light is not on. Too many people incorrectly think there's no codes set if the light isn't on. In fact, there's well over 2,000 potential fault codes that can be set in the Engine Computer. Only about half of those involve things that could adversely affect emissions. Those are the codes that turn the Check Engine light on.

Once you know the exact fault code numbers, you can go here:

https://www.2carpros.com/trouble_codes/obd2/p0300

to see the definitions, or I can interpret them for you. I started you out at code P300 because that's where the specific cylinder misfire codes start. Your description of engine shaking is commonly caused by spark-related misfires. You may not need this dandy article, but it might be of benefit to others researching this topic:

https://www.2carpros.com/articles/how-to-change-spark-plugs

Let me know what you find for fault codes, then we'll figure out where to go next.

P0308 - Cylinder 8 Misfire Detected
P0420 - Catalyst System Efficiency Below Threshold (Bank 1)
P0868 - LINE PRESSURE LOW

The last code is manufacturer-specific. I found that definition on AllData, our online service literature.

Code 420 may be due to the catalytic converter catalyst melting from the unburned fuel from cylinder 8. Start with the spark plugs, then erase the codes and see what comes back.

I'll work on the diagnostic steps for code 868, then post them for you.

You're correct that a number of sensors share the 5-volt feed circuit and the ground circuit, but if the 5-volt circuit is drawn down by a shorted sensor, the Engine Computer turns that supply off to protect it. Same if that wire is shorted to ground. To get code 868, you need a properly-working sensor with the correct 5.0 volts and ground.

Sensors that develop a signal voltage usually have an acceptable signal voltage range from 0.5 to 4.5 volts, roughly. Anything outside that range is what the computer detects as a defect, and sets the appropriate fault code. Examples include a broken ground wire, connector terminal, or break inside the sensor. That would put the full 5.0 volts on the signal wire. The fault code would be "sensor circuit too high". Similarly, if the 5.0- volt supply was missing, you'd have 0 volts on the signal wire. The fault code would be "signal voltage too low". Code 868 points to the pressure being too low, and as I mentioned, it takes a properly working sensor circuit to set that code.

Before you get "wrapped around the axle" on code 868, I'd erase it and see if it comes back. Line pressure is developed by the front pump in the transmission. That pump is driven by the torque converter, and is dependent on engine speed. With the poorly-running engine, idle speed may have dropped low enough to cause pump pressure to go too low momentarily.

Thank you, but I haven't done anything yet. Please keep me updated on your progress.