"Entering a plea" means the offiical declaration of your plea in the case in which you were charged (i.e.- 'enter' a plea of guilty - 'enter' a plea of not guilty).
No, it is a guilty plea
Your plea is : Guilty or Not Guilty.
Not guilty plea
An open plea is when a defendant pleads guilty without an agreement regarding punishment.
"Projected" when used in this sense means that it is 'expected' that soemthing will happen. (e.g.: Because of the amount of evidence against him it is 'projected' that he will enter a guilty plea.)
to get a lesser jail / prison sentence in exchange for pleading guilty.
yes.
standing mute means to not plead guilty or not guilty. In the United States when this occurs the judge will enter a plea of not guilty on the defendants behalf.
A conviction by plea is where you plea "guilty" or "nolo contendre" (no contest) to a charge. The plea is treated as a conviction of that charge.
Yes, you can change your plea to guilty at any time up to - and including - your court appearance.
Don't understand what is meant by the question. THAT's what prosecutors DO! Their job is to attempt to prove that the defendant IS guilty, and that his not guilty plea is a lie.