My iPod touch 4g will not sync for anything!

Question

I got my iTouch this January and have had horrible problems with it since about a month after I got it.
The first problem I had was that certain songs go silent partway through, but the sound starts again about 30 seconds later. It always happens at the same time in the same songs. I could fix it by removing the songs from my iPod and then re-syncing them, but it would keep popping up and was really annoying. Songs that I've never had a problem with before will all of a sudden skip. Because some of my friends have had the same issue, I didn't think it was worth calling Apple.
Shortly after, I started getting an error message each time I opened iTunes. It says "iTunes was unable to collect data class information from Sync Services." I looked this up online and tried syncing the iPod on a different USB port as well as on a powered USB add-on. Nothing helped. It didn't seem to affect my iPod at all, so I didn't worry too much about it.
About a week ago, I got back from a trip and plugged my iPod in to charge while I went to sleep. When I unplugged it in the morning, it had a full charge, but said that there was no music on the iPod. iTunes said that there was music on the iPod. I tried to sync it multiple times, but I would get different error messages that said that the iPod could not be synced. Because it had helped me before with other iPods, I tried to restore my iPod. It partially restored it, but then I got an error message saying that it could not be restored. I tried to restore it multiple times and got different error messages. I reinstalled iTunes twice, but it didn't help.
At this point, I got really frustrated and called Apple. They were helpful and said that, since I'd already been through all the troubleshooting, I could just send in my iPod for free at a UPS store. I was under the impression that I would get a new or refurbished iPod from the same generation as mine. I got my same iPod back two days later with a note that said there was no issue with my iPod. They had finished restoring it, and didn't charge me (thank God!).
Feeling hopeful, I plugged it in to iTunes and got my regular error message (iTunes was unable to collect data class information from sync services). When it tried to sync, I got an error message again. It seemed like the iPod would randomly quit syncing and go to the home screen in the middle of a sync, since the error message was sometimes that the iPod was disconnected. Sometimes after an error message, iTunes would freeze up, so I used ctrl+alt+del to shut it down from the Task Manager. Next I tried syncing the iPod to my dad's iTunes on a different user, but I got the same error messages. I tried syncing with no music, and it worked. I tried syncing with apps and without music, but none of the apps would sync. I also tried syncing music without apps, but got the same error messages as before. I went online and read some forums, and discovered that when iTunes is in use, the iPod does not show up in My Computer. I have no idea what to do next.
As a 15 year old, I have no money and my parents aren't exactly excited to buy me a new iPod or any expensive Apple accessories. I spent all my Christmas money on this iPod, and have spent hundreds in iTunes, so I feel entitled to my $250 worth (I only got 8 gigs), as well as the over $600 of allowance I've been spending in iTunes since the iPod Mini I got in the 4th grade. Come on, I haven't even had it for 7 months yet!
Also:
I'm running 64-bit Windows 7. (I downloaded iTunes in 64 bit, but in the Task Manager, it says iTunes.exe *32)
My dad and I both also have iPod Nano 3gs, and neither get error messages or syncing problems at all.
My iPod is not jailbroken. I don't get illegal music, only iTunes.
The screen isn't broken. It has no scratches on it since I keep it in a case.
Nothing has ever spilled on it, and I'm sure of this because the water indicators are still white.
I know this is really long, but I didn't want to leave out any details that could be important. I think it also demonstrates the extensive amount of problems I've had. If anyone else has had any problems like this, please comment. I'm willing to try anything at this point.

Answer 1

Try:
- iOS: Not responding or does not turn on
- Also try DFU mode after try recovery mode
How to put iPod touch / iPhone into DFU mode « Karthik's scribblings
- If not successful and you can't fully turn the iPod fully off, let the battery fully drain. After charging for an least an hour try the above again.
- If still not successful that indicates a hardware problem and an appointment at the Genius Bar of an Apple store is in order.
Apple Retail Store - Genius Bar
Or since you did not say the current status of the iPod
Try:
- Reset the iPod. Nothing will be lost
Reset iPod touch: Hold down the On/Off button and the Home button at the same time for at
least ten seconds, until the Apple logo appears.
- Reset all settings
Go to Settings > General > Reset and tap Reset All Settings.
All your preferences and settings are reset. Information (such as contacts and calendars) and media (such as songs and videos) aren’t affected.
- Restore from backup
- Restore to factory settings/new iPod.
- Make an appointment at the Genius Bar of an Apple store.
Apple Retail Store - Genius Bar