This is not the venue for reporting either feature requests or bugs. Acrobat product management does not officially monitor these communities.
Go to https://indesign.uservoice.com/ to report bugs or request new features.
On the drop shadow make sure the shadow is applied to the Graphic or Object and not the Fill.
In general converting text to outlines for production reasons is not a best practice. If you have to do it, export a PDF and convert with Acrobat.
When you paste text from one doc to another there is the potential for conflicts with same named styles. On a paste the destination style properties are used (the pasted text’s attributes might change). When you Load styles you can choose how the conflicts are handled—you have the option to use the source file’s definition when the styles have the same name.