You do need to hire a lawyer because that is the best person to assess whether or not you should waive speedy trial or not. You might not like that answer, but the response is just common sense. Once you waive speedy trial your case could wind up being continued more times until you file a demand, so not only does this give you additional time, but it gives the State additional time as well. The facts surrounding your particular case can either be assessed by a lawyer who is trained and...
Your question is extremely confusing. When you say 'she' lied to detective, I am not sure if you are referring to your mother or your sister. Either way, if you are asserting that you are not guilty of this offense and that it was in fact your sister who did this, you would need to take your case to trial. If you can no longer afford your attorney or you can't afford to pay him or her for trial, you may be eligible for a Public Defender.
Hire an attorney or if you can't afford one, you will have one appointed to you. Discuss your case with your attorney. They will advise you on the merits of your case, find out the State's position on your case and determine whether or not the victim wants to co-operate.
If Florida accepts your transfer, you should be able to move your probation here. I agree with the other responses, talk to your attorney and see what needs to be done in order to move everything to Florida.
Mr. Umansky is right. She never took the first step to obey the Court's Order by failing to report so she will probably be looking at a harsh sentence. She is facing a maximum of a year in jail and you should contact an attorney for her asap. If she can't afford one, she will get the Public Defender's Office appointed to her.