I know of someone in my stake who was in this same situation. My understanding is that the problems with the violation of the law of chastity did not have any impact on the length of time it took for a mission application to be processed and a call issued. The timing associated with these things is always highly variable and very difficult to predict. I endorse what @Jane_Doe and @DoctorLemon have said - you'll have plenty of time to prepare and try to relax and enjoy the pre-mission down time i