Can you post a few photos here, so that we can judge better?

Looks like the focusing is off. Are you able to manually focus to infinity (and shoot to somewhere far) and check the image again?

Looks normal to me.

It's a compact camera with super zoom capability.

It is normal to have those images dropping in image quality when you zoom a lot.

The camera's zooming capability is 35mm film equivalent at 24-720mm, best image quality could be at the 350mm point +/-

On the widest and most tele it is not uncommon to see the lens weakness crop up like chromatic abberation and flaring.

Looks like the focusing is off. Are you able to manually focus to infinity (and shoot to somewhere far) and check the image again?

Could be your fingerprints or worse fungus for all we know. Would be better off buying a new camera than repair at this time. Looks like even my mid tier smartphone cam is better than TS's pictures

........not sure if you think fungus as mushroom growing inside lens . Google lens fungus. If there are enough fungi, dust and smear, it will blur the image due to out of focus blurring of particles on lens.

Btw, this is 2017, have you taken any present samples? If image gotten worse than 2013, it proves my theory. Otherwise, could be just the varying quality based on focal length settings.

No, I'm just stating the facts. The samples you've shown also exhibit those characteristics.

Even zoom lenses that costs more than your camera have such characteristics.

When your camera covers such a zoom range, do not in the first place have expectation that from the widest to the most telephoto having perfect sharpness and no image degradation.

Lenses don't work that way.
Yup, those are exactly the degradation one face when using super zoom lenses.

Lighting conditions will affect how severe those degradation appears.

Few factors.
1. You're not comparing apples to apples. Different settings would have very different results.
The aperture, focal length and working distance all can affect it and give you different results. This is true even for several thousand dollars dslr lens. Superzoom compacts will be even more apparent. I know it's inconvenient, but try having a photo with very similar circumstances for comparison.

2. You might have knocked the camera. Then one of the lens goes out of alignment causing it to be blur.
If impact is not a factor, temperature change (day-night cycle) might affect the lens alignment too. Especially when it's a cheap lens and the lens might not be secured completely.

3. Fungus inside. It can grow slowly. I've a lens with fungus. After 5 years and it is still a small spot.

No you don't. Otherwise you won't be saying block entire lens for some reason

Well just guessing here since the sypmtom looks oddly familiar. Is there anything in front of the lens by any chance?

Try to use torchlight and shine into the lens just to check if anything inside the lens also.

......now I'm even more curious how you get that close up shot. 

Cannot see clearly, but is there a filter attached to the front? Cause there should be something written in front, but can't see. If there is, how about taking that off and take another shot.

You sure? Cause I can see a bit of 4.3mm at your lens corner which seems like blocked by something. Maybe try checking real close if got filter on it. Cause funnily I heard of cases where people didn't even realise there is a filter in front cause they bought it second hand.   

Well, if that's just the barrel zoom extension, guess it's your camera defect. 

This is what I google on your camera model: 
https://ksassets.timeincuk.net/wp/uploads/s...MG-0136-1-3.jpg 

This is yours:

Well, guess it is kaput.......... in 'sharpness' sense. Though I'm not sure if it's just cause of settings issue, lens coating issue, different sharpness at different zoom pointed out by others, or whatnot. You can try to repair it, but really what's the point 

From what I look, the focusing is slightly off, could be something to do with your lens elements.

If you want something decent from superzoom camera, you would need to fork out quite a bit to get the RX10 series.