The way you connect your power cables to fans/HD's/optical drives do not matter correct?
There should be only one way a power cable can connect to a component.
If nothing is coming up on the screen, then we need some further information.
- Do you get any kind of power at all? Do the case fans spin? Video card fan spin? CPU heatsink fan spin? Hard drives power up? Lights come on (case, motherboard)?
- Have you tried reseating the video card? Pulling all PSU cables out and plugging them back in again? Reseating your RAM?
- What monitor do you have? Do you know it works? Could it be a faulty cable between the monitor and the computer?
- One last thought, that PSU is very cheap, I wouldn't be surprised if it has taken out some components.
Let us also know if you have tried anything else other than the table-top build. Of course, if nothing comes up on the screen, I would be tempted to think the video card is faulty. Are you able to try it in another computer? Are you able to try another video card (known working) in your new system?