Heya,
ISO 1600, 3200, etc. Yeap, noisy. That's high ISO for that sensor.
I find that sensor does well with ISO up to 800, after that, it's noticeably noisy.
Not sure what you were using, but those are not very fast moving moments. You didn't need high ISO for this. You were using 30mm, so you should have been able to snap those photos at 1/30s shutter speed, or near that. Aperture wide open to about F2.8. ISO could have been left minimal. You could take a photo in a near dark room at those settings. I'm not sure what mode you were running that was pumping ISO to 3200 like that. But that was basically the problem. I would have used Manual for these shots, or Av mode with set aperture and set ISO. Again, at 30mm, even a slow shutter speed will result in a sharp image, and it looks like there was enough light to not need to drop as low as 1/30s, but you could have shot around there. I think your metering was odd too. But high ISO like that really contributes to blowing out everything, so it metered that bright window, darkened everything else, raised ISO to 3200 like that, then exposed, and you ended up with that washed out grainy look. Try spot metering and evaluative metering and do it on an object in front of a window. See how it affects your light.
Going through your photos and their settings, the randomness of it makes me think you were just shooting in a near fully auto mode? If so, definitely get out of that and start learning the triad of exposure and setting it yourself. All the photos are pushing high ISO, with random apertures ranging from 2.2 to 5 (weird), with variable shutter speeds that are all faster than necessary considering the focal length.
As for improving, besides learning your camera and how to set things for exposure better, you should pay attention to lighting. You were always shooting with a bright light at the back of your target without a flash. Had you simply shot from that side, instead of into it, you would have had way nicer looking photos just from the lighting change.
Start setting your camera's exposure settings.
Start looking at the light, not just what you're pointing the camera at.
Very best,