my rider score?

Yes, rideshare passengers also have score/ratings.

Yes, just like the drivers, riders of rideshares (Uber, Lyft,etc.) have ratings given by their peers, i.e. drivers. Both Uber and Lyft do this in a star-based ratings where 1 is the worst and 5 is the best.  You can look up your own rating within your app, generally under the "Profile" page.

The drivers can generally view this information as well, and for Uber and Lyft drivers, they can view this when the user request comes in, and they have the choice to decline or ignore the request.  (There are exceptions.  In Chicago, the law forbids the app to display this to the service provider, i.e. drivers.)

(picture courtesy of ridester.com)

Here are some helpful articles:

Do drivers really rate passengers? What happens when my ratings are low?

Where do I find out my passenger ratings on Lyft?

Driver rating finally explained #2

Tips on How to Perfect your Passenger Rating

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Uber Driver, CEO of TaxiFareFinder and Unleashed, LLC