The cleat (area) is definitely seamark:type=mooring
I feel good about this as the cleat matches the picture very well.  Its not a single post which would be a bollard.
The spud is more complicated. I just left a note because its not a mooring item.  It is essentially a post though.  I cannot find anything that defines them.  If you want me to delete it I will. What a spud does is position the floating dock (I could not find an OSM applicable description of a floating dock) so that it kind rise and fall with the tides.  Sometimes spuds are affixed to work boats.
But big thanks for your guidance because I didn't know where to start with this. Now I know a bit where to look.

