Hi Scross0613,
Not sure why those apps are no longer on your iPhone, or why there's no update button.
Have you tried downloading them from the Purchased area or from a computer with iTunes?
Download past purchases - Apple Support
Download previous purchases on your iPhone, iPad, or iPod touch
Make sure your iOS device meets these system requirements:
- iOS 4.3.3 or later
- You need iOS 5 or later to download items to iPhone (CDMA model).
- iBooks 3.0 or later to download books
Apps
See also "Download previous purchases on Mac or PC".
Best regards,
Nubz