Why is my ipod keep closing out of apps and wont download apps its a first generation ipod 2.2.1

In the future use regular size fonts,

First

iTunes Store: Transferring purchases from your iOS device or iPod to a computer

Then update your iPod to the last update for your iPod:

A 1G iPod can go to iOS 2.2 via iTunes and 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 apps compatible with your 1G iPod. To more easily find compatible apps:

iOSSearch - search the iTunes store for compatible apps.

Vintapps 3.1.3 - paid app.

Apple Club - filter apps by iOS version.