Faked (and apparently working) Apple ID. What can I do?

Question

I have just received three automated e-mails from Apple, on a different e-mail account from the one I signed up for this Apple ID. The first one addressed me by a woman's name (I'm a man) and said that someone had added my e-mail as a contact address for an Apple ID. It also said that if I hadn't done it, I didn't need to worry, because "your email address cannot be used as a contact address for an Apple ID without your verification."
OK, I wouldn't worry, except that the two other messages appear to contradict that statement, because the first one said that "my" supposed Apple ID had been used to log in to iCloud from an iPhone 4, and the other said the same about FaceTime and iMessage, also from an iPhone 4 named "Babygirl." I suppose this means that whoever used my e-mail address somehow managed to verify it and successfully log in. EIther that or the verification step is being ignored and Apple is allowing anyone to use any e-mail address to log in, which is extremely serious.
For the record, I don't own an iPhone - in fact, the only Apple product I ever had was an old iPod Nano that I no longer have or use, and that's the only reason I already had an Apple ID (this one I'm using to post this, of course), which I hadn't used for years before today. Also, I suppose my impersonator is from the United States (it was a typical American female name), but I happen to be from Brazil (and fortunately be fluent in English).
There have been other cases of fraud involving this e-mail address, such as signing in to an on-line gaming community and trying to reserve a rental car in Europe, but in all those cases, there was a channel I could use to contact the respective company and tell them what was happening, so they could take appropriate measures. However, Apple offers no way to contact them to solve this mess and block whoever is using my address. The only option is "calling Apple," which is only feasible for U.S. users. I must say that this level of support, access and security is not the least bit encouraging me to have another Apple product any soon.
I can't scrap the other e-mail address, because it is in active use (not only for correspondence but also for accessing Google's services, as it is a Gmail address). Besides, that would be useless, as the only effect would be that I wouldn't know when someone used it fraudulently again. The password has been changed several times and Google's activity report shows no unauthorized accesses.
What can I do? Thanks.

Answer 1

1. Click here and use Apple's iForgot service.
2. You need to ask Apple to reset your security questions. To do this, click here and pick a method; if that page doesn't list one for your country or you're unable to call, fill out and submit this form.
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