Do not pay the fines. Speeding in SC is a misdemeanor
offense, and though employers don't care much about traffic violations of this kind, by paying the fine you are giving yourself two criminal
convictions which, yes, would appear on your permanent record.
Get yourself a lawyer and let him see what he can do for you. There is a pre-trial
release program for first offenders that can allow you to walk away without a criminal record
if you successfully complete the program. The prosecutor selects who gets such a program, but it's likely you'd be an eligible applicant and a lawyer may be successful negotiating a disposition of that type.
And of course, if you are interested in fighting the case, you don't want to do this yourself but will also need a lawyer. Jail is not a likelihood for you at all,which is good news, but you should leave your defense to a professional if you are at all worried about carrying a criminal record.