Okay; let's try again.
The firmware version you're running is important to what will be suggested you try.
By how did you set it up; what I am asking is did you ever do a firmware update? Did you ever clear your nvram and do a power cycle of the router (physically pull the plug - not a reboot of your router via the web gui). When you initially setup the router settings; did you use a backup config file or did you type everything in manually?
Did you change any settings from the defaults?
The reason you want to leave your modem off for a long time is to force the ISP to connect properly to the new router you're plugging in. 30 minutes may be long - but I've left my modem off for over 8 hours as a sanity test (they finally replaced the faulty modem).
The recommended firmware at this time is the 374.40 Beta 1 firmware for your model.
http://www.mediafire.com/download/ucabgkcjwtf02kl/RT-AC66U_3.0.0.4_374.40_beta1.zip
Unplug all Ethernet and USB devices/cables from your router, reboot the router for good measure, connect the Ethernet cable to the computer you're going to do the firmware upgrade from (make sure to unzip the file first) and proceed with the firmware upgrade.
When it is done, plug in the WAN port to your ISP's modem and do a basic setup following the wizard steps.
Now, inside the main web gui page; perform a reset to defaults and manually power off (pull the power plug) the router when it is finished.
Configure it manually once more and then document each change you make away from the defaults.
You also want to either use a new ssid for your wireless connections or else 'forget' the network connection on each device and re-associate with the router again. This will ensure that the micro settings within the different drivers used between different firmware will not conflict with the saved settings in your currently setup network ssid settings on each of your devices.
This may be all you need to do to resolve any issue you have with your old firmware.
If not, we'll be here to offer further suggestions.
And, welcome to 2014 if you decide to upgrade the firmware as recommended above.