Thank you for your question. I look forward to working with you to provide you the information you are seeking for educational purposes only.
Once your son failed to appear and failed to comply with court orders, you and he are not in a great negotiation position, since his own conduct is the cause of his current situation and he needs to take responsibility for that and be held accountable.
You cannot file papers to rescind the guilty plea. Your son can file a motion to vacate plea and would have to prove the plea was coerced through fraud or from non-disclosure of information. If the plea was entered with full knowledge of everything you said above and your son still plead guilty, the court will not vacate the plea.
You need to consider trying to help him by getting a local private criminal
defense attorney to assist him, but this is not something simple I am afraid because of his conduct.
Had he shown up and done as the court ordered, he would have had a better chance to show the charges were false based on her history of making such complaints
and this argument still exists, BUT it is made less effective because his own conduct has landed him in jail. So, if the PD does not want to file to try to vacate the plea, you will need to get him that private attorney to step in to file the motion to vacate and attach the proof that these charges were fabricated.