GH-41420: [R] Update NEWS.md for 16.1.0 (#41422)

### Rationale for this change Update NEWS.md ### What changes are included in this PR? News updates ### Are these changes tested? No ### Are there any user-facing changes? No * GitHub Issue: #41420 Authored-by: Nic Crane <[email protected]> Signed-off-by: Nic Crane <[email protected]>
apache · May 25, 2024 · 283f66f · 283f66f
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 * `summarize()` supports more complex expressions, and correctly handles cases where column names are reused in expressions. 
 * The `na_matches` argument to the `dplyr::*_join()` functions is now supported. This argument controls whether `NA` values are considered equal when joining. (#41358)
 
-# arrow 16.0.0
+# arrow 16.1.0
+
+## New features
 
-# arrow 15.0.2
+* Streams can now be written to socket connections (#38897)
+* The Arrow R package now can be built with older versions of the Arrow C++ library (back to 13.0.0) (#39738)
 
-# arrow 15.0.1
+## Minor improvements and fixes
+
+* Dataset and table output printing now truncates schemas longer than 20 items long (#38916)
+* Fixed pointer conversion to Python for latest reticulate to ensure data can be passed between Arrow and PyArrow (#39969) 
+* Check on macOS if we are using GNU libtool is and ensure we use macOS libtool instead (#40259)
+* Fix an error where creating a bundled tarball with all dependencies was failing on Windows (@hutch3232, #40232)
 
-# arrow 15.0.0
+
+# arrow 15.0.1
 
 ##  New features