What is wrong if you have a 1994 Probe that wont go into 2ND 4TH or Reverse pushing clutch all the way in but will go into 1ST 3RD and 5TH shifting hard recently?

Most likely, the clutch or the clutch pilot bearing is dragging. This is caused by clutch hydraulic leaks not letting the clutch fully disengage or the clutch pressure plate/disc/flywheel is warped. Crawl under the car, (engine off)have a friend push/release pedal, see if slave cylinder throw seems adequate and look for leaks. If throw is short, problem is in the clutch hydraulics; if throw is normal, problem is the clutch.