Sounds to me like you didn't pull yours, you pulled someone elses report. The name might be the same, but SSN, employer, address, date of birth? The only common demoninator is the name, which there are many common names.
I could be way off though. I'm pretty new to this whole credit report thing. 
Your Social should be yours, however I have seen reports that included alias social security numbers. In this case YES all information needs to be disputed. It can help remove some negatives too if they are under the wrong name of social. My friend had stuff under a social that was 1 digit off as a mistype and a name slight wrong. He was able to have that and the accounts that were negative removed as well because they used the wrong name, ect...
I have had plenty of stuff wrong on my reports except I fix them as they happen. I had more than 20 errors when I first started. Sounds like you did a lot of applying at one point and either did it over the phone or on paper. Stuff gets mixed up, happens. Yes dispute with each agency directly by FAX. DO NOT DO IT OVER THE PHONE. More mistakes happen that way. If you do it online only dispute stuff you want deleted. Fax is the best way to have things corrected.
I have had plenty of stuff wrong on my reports except I fix them as they happen. I had more than 20 errors when I first started. Sounds like you did a lot of applying at one point and either did it over the phone or on paper. Stuff gets mixed up, happens. Yes dispute with each agency directly by FAX. DO NOT DO IT OVER THE PHONE.
More mistakes happen that way. If you do it online only dispute stuff you want deleted. Fax is the best way to have things corrected.