2005 Honda Accord, 164,000 miles, 4 cylinder - transmission problem

Hi, My car was vibrating when I drove it (between around 20-25 mph). I took it to a Honda dealership, who said I needed new front axles (the service write-up says "found front axles rusted and vibration"). I had them make that repair with NAPA after-market parts. The vibrating continued. I took it back 1 week later. They said the passenger side axle "failed" and replaced it (the service write-up says "excessive play", "leaking axle seal", and "diff worn a little"). The vibrating continued. I took it back 1 week later. They suggested the transmission needed to be replaced, but I was skeptical at this point because there was no mention of a transmission problem the first 2 visits. I decided to take it to another dealership and had them inspect the axles. Their service write-up said that there was no play or leaking. That was in August 2014. I had my state inspection done last week. It passed, but they said that the passenger side axle was "leaking badly", and suggested that I take it back to the dealership that repaired my axles. I did and they said that the transmission needed to be replaced. Do you think the "failed" axle could have caused the problem with the transmission? Thank you