Exactly what happened to my Wii...
BUT my Wii has BootMii installed so I can still check if its the system files or whatever... The fact that the Wii is soft-modded has absolutely nothing to do with it

Your Problem:
1) Can't access System Menu
2) Can't Sync Wiimote no matter what.
3) Used a 3rd party AC adapter <--- Source of your problems (Should get an ori Adapter next time)

Your bluetooth module got fried by the "cap ayam adapter" (also what happened to me once).
I used a 3rd party adapter and then my Wii suddenly turned off...Then I can't access the system menu until I changed the bluetooth module
The Wii, before booting up will do a components check first. If a component is malfunctioning/damaged, it will halt the system from doing anything

You can buy a new bluetooth module at DEALEXTREME its amazingly cheap and free shipping

EDIT: You might wanna pick up a Triwing screwdriver along with the bluetooth module. GOOD LUCK!!

This post has been edited by HiRuMi91: Mar 31 2011, 04:07 AM