I have a website with Google AdSense ads. However I do have another website that was banned by Google because my little brother had clicked too many times in the ads. Now I understand all the rules and FAQ. Nevertheless, I don't know if I can place ads in the website that was banned before?
I wouldn't risk it. And since you clicked on your ads before and were banned, by linking this new account to that same banned website you will also inevitably link your new google adsense account with the banned one.
No its not a good idea. You should avoid to doing this. Its better to place ads on a clean website rather than banned one