Seriously, if you REALLY want to build up a decent rep...then you have to realize that it's not enough to just play lip-service. You can say over and over again, "I own up to it..." but you honestly don't seem to understand what that really means.
You haven't once addressed the issue of the lying. You seem to think that so long as you ignore it, no one will notice it?
OWN THE LIES as well as the mistakes. When you realize that honesty and integrity is ALL any of us want, then you'll know what to do yourself. Admit the lies...ALL of them...not just the ones we've noticed or called out...and then let people know that you really DO understand what words like "honesty" and "integrity" mean. Then go out and LIVE BY THEM.
Trust won't happen overnight, but over time...if you really mean it...and you really work hard...you CAN build a successful business. But if you keep hiding behind various veils of deception, no one will ever care how much you "own the mistakes".