Please Help with backing up before I commit suicide

I have an MBA and just bought Time Capsule thought it would be good idea to back up my research studies and to store my important files. I have a BT Home Hub which is connected to the TC by Ethernet. It started backing up but the process was interupted many times. One time the MBA got frozen. The other time it quitted unexpeditely. I have 36.67GB and the highest data backed up was 656MB and the backing up was interrupted. I Left it overnights to back up but without anu success and it seems everytime resume backing up it starts from the scratch not from where it stopped. I have connected my MBA to the TC by Ethernet but the Ethernet ligh in the TC is off. I want to get this **** to back up my MBA as I stored one important file in it and I had to reset it and the file was not saved properly.
I m loosing my temper with this so called TC. I have erased it and i want to start from the scratch and see how it will go.
I want adives on the best quikest way to have it backup my MBA and then after finishing backup I want to set it up to use the maximum of it.

I have in the house 4 laptops including my MBA and I want to access it while away.

Please help!!
As I speak it started backing up and now it is 1.7MB out of 36.67GB