Lets try this the 4 items on the home page either move them to another screen or remove them altogether you can add back later, once you have a blank home screen power down the phone.
Once the phone is turned off, take back off and remove battery for 5 to 10 seconds then replace battery and back, restart phone.
Now you should be able to touch and hold screen then select the clock/weather widget fingers crossed this will work
any time there appears a problem powering down and removing the battery does a reset (you don't lose any data)
lets see how this goes first