You can't see "Safe Mode" by just looking at the stuff on the phone. How to get into "Safe Mode" is as follows... some things may be named a tad different on your phone, but it will give you a good idea...
To get into "Safe Mode" please do the following.
1. First turn off the phone.
2. Next press and hold "Power" until you see the manufacturers logo on the screen, then release the power button.
3. "Quickly" press "Volume Down" and hold it for few seconds until you see the message "Safe mode: ON" or something similar.
4. If you wanted disable it, simply repeat the steps above, and you should see "Safe Mode: OFF" rather than on.
As to the other, you have to go into "Settings" on your phone. Which usually is a little gear icon. In settings locate the "Apps" section. When you enter that, you are looking for the "All" or "All Apps" section and then locate the "Messaging" app in the list of applications. Tap that once and it should open to a screen that has buttons for things like "Move to SD Card" (which will probably be grayed out) "Clear Data" and "Clear Cache". Or similar titles.