I have read the whole post and the replies, but I'm shocked that why have you posted a ban appeal from your uncle's id? You could do it from any new id and if your point was right then you might be given a second chance by the moderators. But, the thing you have done was not a intelligent step and because of that you risked your uncle's account as well.
Even though the account that you are using is legit but still if someone, who is banned from the forum, is using such account to create an appeal thread or join signature campaigns is a sign of ban evading. Because you doesn't seem to be a wrong person and you words aren't in any way of a scammer, that's why I'm not going against you. I will keep silent in the situation and let the moderators decide for you.
It would be better if you had created a new account and posted ban appeal from that account. In that way you won't be doing any form of ban evasion. It's always preferable to appeal for your banned account from a newly created account, and if your appeal is good enough then the moderators might give you another chance.
However, in search of being unbanned you broke another rule by using the forum from another account, or I may say from many alternative accounts. In such case only a moderator or administrator knows that either you will get unbanned or you might lose you current account if you continue using it because it will be considered as ban evasion.