he need to set the focus to SPOT......to avoid being affected by the monitor
in k800 there isnt a function to set shutter time lol......
even some digicam cannot do unless its a prosumer or compact cam with extra manual features like setting the iso, aperture, shutter time etc....
a long way to go to master photography

you can set it manually by yourself. the camera itself will detect the setting (aperture etc) itself. therefore i said try to avoid to cramp bright and dark object into the same picture lol....
first pic: low lighting condition causing the noise.
second pic: the smokey over upper right corner might due to the over exposure or reflection of bright item. i notice there is a bright white item on right bottom (the monitor), because the whole area is dark, the camera
automatically increase its exposure value, shutter time whatever it is to compensate low light, then when the flash fired up, the reflection from the bright item + over exposure from that area, contributed to the smokey bright on upper right corner.
basically nothing much you can do, indoor shot is not so easy to master for a good quality picture.
from your first picture, why it is so bad? here is one more factor, the dark background (ceiling) should need higher exposure or shutter time (whatever it is again to increase amount of light into the camera), but then the monitor is so bright that the
camera thought the lighting is enough, hence lowering down those setting again. therefore, finally, you have a over exposed (bright) for area with lighting or too dark (high noise) for low lighting (dark) area. got my point?
practice, experience and skill is essential. take time to learn. try to avoid capturing picture with dark something and bright something in a same picture. e.g. avoid the monitor for the dark ceiling shot. focus on what object you want to take. practice makes perfect.
apart of that, it is just a camera phone that you cant expect much. and make sure you phone have the latest firmware or not having any faulty hardware.