GH-38904:[R] Update news.md for 14.0.0.2 (#39022)

### Rationale for this change

Update news.md

### Are these changes tested?
no
* Closes: #38904

Authored-by: Jacob Wujciak-Jens <jacob@wujciak.de>
Signed-off-by: Jacob Wujciak-Jens <jacob@wujciak.de>

r/NEWS.md

@@ -19,7 +19,23 @@
 
 # arrow 14.0.1.9000
 
-# arrow 14.0.1
+# arrow 14.0.0.2
+
+## Minor improvements and fixes
+
+* Fixed the printf syntax to align with format checking (#38894)
+* Removed bashism in configure script (#38716).
+* Fixed a broken link in the README (#38657)
+* Properly escape the license header in the lintr config (#38639).
+* Removed spurious warnings from installation-script test suite (#38571).
+* Polished installation-script after refactor (#38534)
+
+## Installation
+
+* If pkg-config fails to detect the required libraries an additional search
+  without pkg-config is run (#38970).
+* Fetch the latest nightly Arrow C++ binary when installing a development 
+  Version (#38236).  
 
 # arrow 14.0.0.1