The green is probably the Audio header but I can't tell if it's ac97 or HD. (Theres 2 types of front panel audio)
The thin Black one is probably the card reader; connect it to usb
The Blue one is probably the front USB ports, connect it to USB
VERIFY the best you can that the wiring does go to what I think they do. Don't just plug them in and maybe kill the motherboard.
The black one with the double connectors Asus is calling a power board cable. In there is where you will probably find the power and reset switches. You may be able to tell which wire is what by looking to see what color wires go the the actual switch and then removing those from the connector* and plugging them directly into the motherbd FP header. When you look at switches, if you see a common color on both (ex: Reset has red & black, and power has green and black then black is the common color) then that would be your - and the other the + BUT since a switch is a short circuit it really doesn't matter which way you connect it. I'm a little OCD with things like that esp when it easy to do it right. If you cant tell what wires goes to the switches then you will need an DVM to figure it out - or just buy a new case too.
*lift up the little plastic tab of the connector and pull the wire & metal connector out. I use a sewing needle.
You can see the plastic tab clearly in your photo of the green connectors empty space.