Sorry but this full guard rep fix is out of roleplay and impossible:
Navy/Military Guard and Order Guard reputations cannot be fixed by bribes and if you do missions, shoot at anything or entering any guard space you abandon your neutrality making the whole issue obsolete.
In my understanding of roleplay a true Neutrality implies that being hostile to all the Guard reputations is mandatory.
On the other side you will not get any approval with this guard rep issue by the admins team.
The guard ID system was implemented to prevent exactly this issue - which is currently enhanced by the new FLHook addon by cannon.