Seeing that there's no convinient way of doing this provided by Google, I've created a tiny online app for export of your starred locations to KML: http://gexport.somee.com/
It's very primitive, but it does the job.
go to My Maps
click on + CREATE A NEW MAP button
copy coordinates from your link 30.0867484,-97.29304982
paste them into the search bar and hit Enter key
optional: zoom in and change to satellite view
click on 3 dots
select Export to KML/KMZ
tick the KML instead of KMZ checkbox and Download
Should be possible - partially. Your maps are a part of Drive so first you need to download desktop Drive client - https://www.google.com/drive/download/ - and enable synchronization. Then you need to setup folder from Google Earth containing maps, to be included or transferred into your Drive synchronization folder. And when done just open your KMZ/KML map ...