That appears to be a reflection... flare. If you look at it larger, you'll see several other, fainter but larger "ghosts", along with the smaller, brighter one. All of these are six-sided (hexagonal), i.e. the shape of the lens aperture.
Do you have a filter on the lens? If so, try without it.
Are you able to use a hood to shade the lens on that camera?
Here's an example of a very similar flare effect in one of my lenses, without it's matched lens hood on the left. Second image on the right shows how simply adding the lens hood can prevent this type of flare. In both these image, the sun was almost directly overhead and well out of the image area (the clouds moved a little between the shots).
Flare can be caused or increased by something on the front of the lens. A filter might amplify it. Moisture on the lens... drops of water from the surf, might refract oblique light and cause flare too.
But most of the time, dust or other things on the front of the lens don't
cause flare or even show up in images at all. They just reduce resolution and may
increase flare... Unless it's something really large on the front lens element!
Since it only appears in some images, that further leads me to believe that it's some sort of flare effect. You should be able to see this type of flare occurring in the viewfinder and might be able to reduce or avoid it by changing the aperture size and/or just slightly moving and reframing the subject.
Here's an example where I shot directly into the sun, causing a lot of flare effects in the lefthand image. I could see it happening in my camera's viewfinder. Moving and reframing just slightly, I was able to greatly reduce the flare effects for the righthand image.
Both lenses in my examples above (Canon EF-S 10-22mm for the cloud shots, and EF 24-70/2.8L for the equestrian arena shots) are highly resistant to flare... But I was able to cause it to occur, and largely able to correct for it in a couple of extreme situations.
It's a common problem with interchangeable lens SLRs and DSLRs, but - no - dust on the rear lens element or the sensor itself is almost impossible with a fixed-lens camera such yours. Even then, dust on those places doesn't look like what I see in your images... wouldn't be in the shape of the lens' aperture, and wouldn't have multiple "ghosts" of the same shape but different sizes and brightness.
By the way, something unrelated...
I notice you are using Spot Metered Auto Exposure (AE). That's usually used for backlit subjects or other tricky light situations. Evaluative Metering or Center Weighted Metering is more typically used for shots like your example.
Also, P or Program Mode is still a very highly automated mode, in which the only exposure decision you make is to set the ISO (and some cameras also have Auto ISO, which if it were enabled along with P would make it sort of an Auto-Auto mode).
The "Scene" modes ("running man"/sports, "mountain"/scenic, etc.) are Super Auto modes. They not only automate exposure, they also dictate other things such as type of image file saved, method of focus, whether the flash should be used or not, etc.
The "Green Box" (on some Canon models) or "A+" (on other Canon models) mode is a similarly highly automated mode.
Canon calls them the "Creative" modes: Av, Tv, P and M. These put the user more in charge of what the camera is doing, leave it more up to the photographer to decide how they want the image to look. Av, Tv and P are still auto exposure, though. Differences are that Av (aperture priority) allows the user to choose a larger aperture for shallow depth of field/strong background blur effect, or a smaller aperture for deep DoF, sharpness from near to far, while the camera is still allowed to automatically select a shutter speed that will give the correct exposure (user needs to watch that it doesn't fall too low or go higher than they wanted, adjust ISO if needed). Tv (shutter priority) puts the user in charge of the shutter speed to make it slow for deliberate motion blur, or fast to freeze action completely and the camera will automatically choose an aperture that will give the correct exposure (user needs to watch that aperture isn't giving too little or too much depth of field, adjust ISO accordingly).
P or Program - such as you are using - adjusts both aperture and shutter speed automatically, really isn't much different from using the Green Box/A+ mode.
Since you appear to be interested in learning more about it.... check if your camera has "CA" mode. This setting can be a helpful tool providing sort of an exposure wizard on the camera's LCD screen, that walks you through making the various settings by asking you what you are trying to do in each image. It can be a shortcut learning what the various settings will do. Not all Canon models have "CA", though.
You also might want to get a copy of Bryan Peterson's "Understanding Exposure". Not specific to Canon or your particular camera, but it's a great book to learn the basics of photography. It's primarily written with interchangeable lens SLRs/DSLRs in mind... however the principles it teaches and many of the methods of controlling the camera are pretty universal. I highly recommend it to anyone ready to move beyond highly automated "point n shoot" mode! (
http://www.amazon.com/Understanding-Exposure-3rd-Photographs-Camera/dp/0817439390/ref=sr_1_1?s=books&ie=UTF8&qid=1429378449&sr=1-1)