I own a cell repair store. We had the same issues with these phones. We figured out what the problem is. All the parts suppliers list the S7560m and the S7562 as the same part. They are not. I am not sure if the '60 parts work in the '62, but I know for a fact the '62 doesn't work in the '60.
There is almost no visual difference between the two parts, which makes it hard for everyone to tell the difference. There is a couple minor differences, like the area around the home button on the inside (hard to explain).
Once you ensure you have the right part, it will work. Trust me. The hard part is convincing the suppliers that they are in fact different and to ship the correct one.
Hope that helps
Mark