I have the same problem.
That "at java.lang.Thread.run(Unknown Source)" is the problem, but how to solve it ;O
i tried to reïnstall java on the technic platform... That didn't help..
reïnstall the launcher didn't work also so i don't know what to do now..
tekkit worked a week for me and at one moment this problems appears and i didn't do anything :S
Need help here !!!!!!!