It is possible, but likely only if the prosecutor thinks its too much of a problem to deal with. You don't say how incorrect the license plate was, but if there was simply a one-digit typo, for example, I wouldn't count on it. Remember the officer could still testify to the stop at a trial and could easily explain how they transposed a letter or number of the license plate number. Just because the officer made a simple error on your citation does not necessarily give you a free pass on the...
Many criminal defense lawyers, such as myself are willing to offer free consultations concerning your legal needs. Take advantage of them now and you can be prepared should any charges be filed against you.
Resisting arrest can get ugly depending on the facts--of which we have almost none in this case. You can be facing up to a year in jail and other consequences that could keep you under the justice system for several years. This can be the case regardless of your being a first time offender. The good news is that a criminal defense attorney can help to minimize any or all of these potential results. I do encourage you to contact a criminal defense attorney quickly, so they can work in your behalf.
Consider getting an attorney who can, not only help locate the arrest information, but could also assist you with potentially getting the arrest expunged or sealed--depending on the facts of the case that you have not detailed here.
You are taking the proper approach in fully disclosing your prior conviction. However the employer did (and where they did) their check can sometimes give inconsistent results, but that does not mean that something is wrong or that there is a problem. If they can't find it then good for you. But don't let that lull you into a false sense of security. One department may find you in a split second. Don't let them be the one that you decide not to mention the conviction after they ask. Good luck.
If there is no evidence that you are being intimate with your boyfriend, then there will be no problem. If you can hold on a couple of years, and you are still together, your parents can give their consent for you to marry, but based on your facts, I'm guessing they are not to keen on doing that. Other options include emancipation and a court order allowing you to marry, but here again, facts don't indicate this being favorable.
Statutory Rape is not forcible rape. It is based on the law only....
Since it appears that you do not currently have an attorney, now is the time to get one. You will need to go to the hearing and your attorney will be able to handle the numbers issue from a perspective that improves your bargaining power, which could ultimately benefit you far more that yo could do yourself. Don't wait.