Q: I cannot access itunes store on iphone 5

Hello Greenvean,

Thank you for the question.  For the issue you are experiencing, I recommend signing out and back into the iTunes Store on your iPhone:

Changing your Apple ID account

Tap Settings > iTunes & App Stores, then tap the Apple ID signed in.

Sign out of the current Apple ID account and then sign in with another account or create a new Apple ID.

The last step states to sign in with another account, but for the situation you described, I recommend just signing in with your same Apple ID.

You can find the full article here:

iOS: Changing the signed-in iTunes Store Apple ID account

http://support.apple.com/kb/ht1311

If the issue persists after signing out and back in, I recommend following the iOS steps in the section titled "Isolate the issue: (Mac OS X, Windows, iOS)" in the following article:

iTunes: Advanced iTunes Store troubleshooting

http://support.apple.com/kb/TS3297

Thank you for using Apple Support Communities.

Best,

Sheila M.