I recommend that members use unique passwords. But, if anyone doesn't trust me then don't bother to register. I'm not forcing anyone.
One thing is that I'm owner of Dailyfreebits.com that is one of the oldest paying bitcoin faucet(3.5 years), I made this community mainly for my faucet members although all are welcome to participate.
If you are, indeed, the original owner of the account and have some sort of evidence to back it up, you should contact the people who have given you trust saying otherwise. As it currently stands, it does not look good to have the owner of a forum or website having negative trust for having had the account compromised. Something like signing a message from one of the older addresses usually does it, as it means that unless you colluded with the hacker, you are indeed the original owner of the account. If you no longer have access to any of your old Bitcoin addresses or if you use an online wallet that does not give you direct access to your private keys, then you are probably out of luck unless you can find another way of proving it.