Hard drive and battery replaced. Bad logic board?

Apologies for such a long question, but I wanted to provide as many facts as possible about my situation.

This is a 30 GB iPod Video. Problem begins with iPod being dropped one day, but showing no problems with performance, and may not be part of the problem. 1 week later, iPod was plugged into an external, third party wall charger and a loud "snap" was clearly heard. The iPod screen goes black and tries repeatedly to restart without success.

The following events now occur both with the original Apple battery and hard drive, and with a new replacement battery and new hard drive. I have tried using multiple computers, and charging with a different wall charger (not the one that caused the loud "snap") for several hours with both the original and replacement battery.

In normal iPod mode: computer does not recognize iPod. iTunes does not recognize iPod. iPod repeatedly tries to restart. Apple logo displays on black screen, HD spins, clicks then stops. Screen goes black. Then Apple logo on black screen, HD spins, clicks then stops. Screen goes black. This series of events continues repeatedly. After several cycles, iPod screen says "Please wait. Very Low Battery"

In disc mode: Check mark and "OK to disconnect" message shows up on the iPod screen when not plugged into computer. When plugged into computer, computer recognizes iPod, and ITunes recognizes iPod. Movies and Music can be copied to iPod using iTunes. Contents of iPod can be accessed, on the Mac desktop. iPod screen displays "Do Not Disconnect" and shows battery icon charging when plugged into computer in disc mode.

After ejecting, several resets were attempted with no change in iPod behavior.

Tried charging both original Apple battery, and replacement battery on my MacBook, tower, and wall charger for up to 8 hours in disc mode. Running in disc mode seems to hold charge, while normal iPod mode seems to display "please wait, Very Low Battery" after just a few of it's bad restart attempts.

iPod was put back into disc mode, and plugged into computer again. Computer recognizes iPod, and iTunes recognizes iPod. Restore is attempted with the following error being displayed in iTunes application: "iPod could not be restored. Unknown error has occurred (1429)" At this point iPod attempts restart several times. Apple logo being displays on black screen, HD spins, clicks then stops. Screen goes black. This series of events continues repeatedly.

iPod was then put back into disc mode. Computer recognizes iPod, and iTunes recognizes iPod. ITunes then brings up message "iTunes has detected and iPod that appears to be corrupted. You may need to restore this iPod before it can be used with iTunes. You may also try disconnecting and reconnecting the iPod." iPod is restored at this point.

Restore begins and the following message is shown in iTunes. "The iPod "iPod" could not be restored. An unknown error occurred (1413)" iTunes application then shows the following message "ITunes has detected an iPod in recovery mode. You must restore this iPod before it can be used with iTunes."

iPod restore is attempted again. Restore begins with the following message: "The iPod "iPod" could not be restored. An unknown error occurred (1413)" The iPod is still recognized by iTunes, but with no Music, Movies, etc. folders included.

iPod is ejected and disconnected from computer and remains in disc mode, and is then reset. Apple logo appears briefly, followed by the following message on a white iPod screen: "Connect to your computer. Use iTunes to Restore."

iPod is reconnected to computer in disc mode and iTunes application displays "iTunes has detected an iPod that appears to be corrupted. You may need to restore this iPod before it can be used with iTunes. You may also try disconnecting and reconnecting the iPod."

Restore process is attempted and begins. Progress bar on iPod screen is displayed, and progresses fully from left to right. iTunes shows message that the iPod has been restored, and that the iPod will will restart when restoration is complete.

The iPod begins reset, but remains in the Apple logo on black screen for 10 minutes, and begins to feel quite warm, but is not being recognized by iTunes or Computer.

The iPod is unplugged from the computer and the display changes to a white screen requesting the language desired. "English" is selected, and the iPod seems to be functioning correctly.

When iPod is connected to computer. the iPod screen goes black and displays the Apple logo, but is not recognized by the computer or iTunes.

No further progress can be made other than what is listed above. LCD screen is functional. Click wheel is functional. Hold switch is functional. Hard drive has been replaced without solving problem. Battery has been replaced without solving problem. It seems that the logic board would be the only other possibility. Diagnostic mode can be accessed, and seems to indicate positive results with the exception of the "Wheel Test", which causes the iPod to freeze.