Unable to answer "Do these steps have a handrail?" – Steps – https://osm.org/way/974807214 via StreetComplete 59.0:

The stairway doesn't cross fully through the tunnel.
Here three sections of stairways are added, but it should be only one going to the beginning of the tunnel

Attached photo(s):
https://westnordost.de/p/242994.jpg