Q: App Store & Restrictions Area Missing

What iOS is on the iPod? Settings>General>About>Version? You need at least iOS 2.x

Do you have a 3G iPod

Identifying iPod models

A 1G iPod can go to iOS 3.1.3 via

Purchasing iOS 3.1 Software Update for iPod touch (1st generation)       

https://buy.itunes.apple.com/WebObjects/MZFinance.woa/wa/touchLegacyLandingPage

There are not that many good apps compatible with a 1G/3.1.3. To mre easily find them:

Old Apps

VintApps 3.1.3 for iPhone, iPod touch, and iPad on the iTunes App Store

apps for ios 4.2.1: Apple Support Communities

Finding iOS 4.2.1 Apps Compatible with Older Devices - Apple Club

HT4972 Touch Game 4.2.1 Apps: Apple Support Communities

apps for 4.2.1 (also works for 3.1.3)

Tip - Finding 4.2.1 apps that work on an...: Apple Support Communities

  4.2.1 iPod 2nd generation unable to use any...: Apple Support Communities

Do you have volume controls at the side of your iPod? (A 1G dont have volume controls)

Which capacity does the iPod have?

A 1G (first gen) can go to 3.1.3. (lllaass provided a link, have to pay for the update for 3.1.3)

A 2G can go to 4.2.1 (free update with iTunes)

And a 3G to 5.1.1 (also free update with iTunes)

Elitegate, the postere siad "It has 1.1.5" That makes it a 1G.

Your right. Another useless answer made by me.

The 2G were originally shipped with iOS 2.X.X and the 3G ones with iOS 3.1.1 or 3.1.2, idk.