There is no set time limit. The accused has a right to a bond after 90 days if they are not indicted. Once a bond is set the time period goes away. I would encourage you to hire a lawyer who can try to put pressure on the State to indict or lower the bond.
There is not time limit on being read your miranda rights. Miranda rights are only required to be read when a person is 1) in custody and 2) being interrogated. Just being arrested does not require the police to read a person their rights. There is no set time period for a judge to set a bond. In practice in varies widely in each jurisdiction. The safe route is to hire a lawyer and file a motion for bond as soon as the person has been arrested.
That depends if you want to get arrested. I would encourage you to speak with a lawyer candidly about the situation. It sounds like the police have the tag but don't know who was driving or who your mom is. You will lead them to your mom and both of you will be charged if you talk and tell them the story you posted.
You can do that and everyone in the court system will think you are an anti government type and will not work with you at all in resolving the case favorably. That strategy will only hurt your case and your wallet.
Three DUIs and one hit/run would make you a habitual violator and you would lose the license for 5 years. You can get a limited permit after 2 years. Some of this would depend upon when the convictions were final and when DDS suspended your license. I would encourage you to speak to a lawyer.
You can plead no contest if you go to court and it is up to the judge to accept. Pleading no contest will not save you any money. It may save some points on your license however if your history is relatively clean the points don't matter that much. I would recommend hiring a lawyer and if you cannot afford one at least go to your court date and speak to the prosecutor.
The move over law requires you to do one of two things when a police car is on side of the road with blue lights on: 1)...
You could stay in jail until your probation expires, depending upon your original sentence that could be a long time or very short. I would encourage you to talk with a local criminal defense lawyer about minimizing your time in custody.