The cells look really clean from the images you have attached. Probably, the spots you are observing may be some material of the culture flask that you are growing them in.
However just to make sure you can do the spreading of your media on some nutrient agar media to rule out the possibility of bacterial contamination. The chances of any bacterial growth on them would be very marginal as you have mentioned that there is no turbidity but you can make sure by doing this.
Also try to passage the cells in a different flask/dish
The cells appear to be in decent shape. There is no risk of bacterial infection, as you stated.
However, I believe you have subcultured this cell line multiple times in the same flasks. As some of the previous passage cells were not detached from the surface at all, it might sometimes result in overgrowth of the cells in numerous areas. This may not be a problem.
There's also a chance that the spots you're seeing are part of the material from the culture flask that you focused on with the inverted microscope.
These are indeed very weird. But doesn't seem to be contamination. At least not bacterial. Bacteria would be much smaller and there would be much more of them. Are those spots static or "vibrating"? Is the media clear? Next time you subculture, try to take a little bit of media supernatant and put it in a separate dish and see if these spots multiply. If they don't, it's not contamination. It very likely isn't.