Microsoft support for MacOffice 2011 referred me to Geeks, which proceeded to take over my computer, found dozens of hacker messages, then signed me up for a year of Geeks support

Question

I am running a new (January 2015) iMacx with a fusion 1 terabyte HD and Yosemite. I had to buy a new MacOffice 2011 because the one on my MacBook was not allowed to transfer over. That was when the trouble began. Word would not load so IO phoned Microsoft Support which babbled a bit then said their consultant would help;. That was Geeks. They needed access to my computer and I was fool enough to do it. They showed me dozens of pages of hacker intrusions including lots originating from foreign countries, then said they could clear it up, get rid of the malware and viruses. Took nearly 2 hours. When it was over the iMac worked better, MacOffice loaded fine. But then I started getting warnings from Apple saying someone had my secret logon and was accessing iCloud on their new iPhone. Geeks called the next morning to see how things were going,. I told them and - same routine, into my computer. This time I said I did not want iCloud, iTunes, i-anything.They assured me they took everything out. The mystery accesses continued for another couple days until I went into Keychain Access and deleted everything that had to do with iCloud and the rest of the i-'s, then I deleted all the RSA private keys that seemed unfamiliar. I also changed all my passwords figuring it was clearly Geeks doing it as the Apple warnings said that some of these accesses using my passwords was to a Geeks web site address. Now everything is solid for the first time. No more warnings from Apple, but very frequent shutdowns of Word and Excel.

Answer 1

First, you need to call your bank and credit cards and tell them too. They will cancel every bank and credit card you have and give you new ones. They will probably put you on a fraud watch too. They will also refund any money you've given to the scammers.
Then, contact Apple Support using any method here: http://www.apple.com/support/
Tell them what happened and let them help you resolve your information on their end. Once you get your new credit card information you will have to get everything setup again.
Finally, you will need make sure you have a good backup. I suggest using Time Machine. If you don't already have a backup, you will need to purchase an external hard drive at least as large as all of your current drives. Then, boot into your recovery volume (OS X: About OS X Recovery - Apple Support), erase your hard drive and reinstall OS X. Migrate only your user documents from your backup, no applications. Then, manually reinstall all applications that you didn't purchase through the Mac App Store.
These scams are getting more and more common. In the past, I have been reluctant to suggest erasing your hard drive. I think that just victimizes people all over again. But I don't know what else to suggest. Supposedly, these scammers are only after money, but what you describe is really a worst-case identity-theft scenario. I wish I had some better solution for you, but I don't.