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When Library and Develop don't match, it's usually caused by a defective or incompatible monitor profile.
Do you see a difference both in Fit view and 1:1 view?
Please post two screenshots of the entire Lightroom window with the same image open in Library and Develop.
Make sure that the histogram is visible in both screenshots.
Also please tell us what version of Lightroom you are running, as well as your OS and version.
Yes, I bet this is the monitor profile.
The reason for the difference between modules, and the difference between raw and jpeg, is that two or three very different color space transformations take place. In Develop, what you see is linear ProPhoto converted into monitor profile. In Library, and jpeg in Develop, what you see is Adobe RGB (sRGB) converted into your monitor profile.
The latter is a much simpler conversion. There is very little gamut remapping, and very little tone response curve remapping.
Another possible scenario is Lightroom 4/5 under Mac OS Sierra. The net effect is the same, but this time the reason is that Mac OS takes over this conversion into the monitor profile, and *something* was changed in Sierra so that this no longer works as it should. However, this is usually seen as black clipping and shadow banding.