I also noticed in my logs you seem to be having some difficulty connecting, make sure you are using the recommended build of tekkit (3.1.2), as it appears you are missing some of the mods needed to connect.
Minecraft Authentication Servers are currently experiencing some difficulties causing users to not be able to connect. Please remain patient while Mojang sorts things out.
We have plugins in place to stop things like that, I hope you enjoy your time on the server!
I hope you are able to construct many stuffs, you have been whitelisted!