Hi negra21676,

No internet while on WiFi is no fun. Let's work on resolving all issues. Run in safe mode http://goo.gl/dxV1i and test. If issues do not occur while in safe mode, you have a 3rd party application conflict. No easy way to identify such conflicting app. You will have to remove all 3rd party apps and install one at a time and test between installs to identify bad app and remove for good.
A corrupted system file may also cause the issues outlined in your post. Do a factory reset http://goo.gl/tbjkt and test before installing any 3rd party applications. Keep us posted.

AntonioC_VZWSupport
Follow us on Twitter at www.twitter.com/vzwsupport