Nope, not Softlayer. Hosting24 actually. I've been playing around with them for a while and the service is very reliable.

They place a 2TB hard drive in every time the free space drops below 10%. After having a chat with their support, they told me if I had all my customers reach the absolute max capacity on the shared box, they would move me to a dedicated one and let me use it as a dedicated server for no additional cost.

As far as the bandwidth, I believe it. They have unmetered connections to each box. Most hosts get unlimited bandwidth from their internet provider nowadays.