Rep Power: 0

So I just bought this car about a month ago and now it's throwing these codes it won't hold an idle it barely turns over and I have no compression to cylinder number 3 it blows black smoke out of the tailpipe and I replace spRk plug tube seals and plugs and plug wires.. I don't know anything about Hondas or motors in general. I'm a tattooist and I'm at work 12 hours a day I have no money to pay someone to fix it and no time on my hands either.. Just put new cat and starter someone please help willing to do anything I can

 
Rep Power: 174

p0108: Manifold Absolute Pressure circuit high input


p0113: Intake Air Temperature Circuit High Input


p0122: Throttle Position Sensor/Switch A Circuit Low Input

This is all electrical stuff. How well is that system working? Is the battery old? Are the cables old and corroded?