How to get rid of Starlings, Hawks, and other Birds:
I did some more research and found that playing recordings of bird distress calls is an effective way to get rid of starlings and other birds.
For an explanation of how it works: This link explains how a winery used recordings of distress calls of different birds to scare birds away from their grape harvest. They explain that recordings have to be varied because birds get used to the same recording over and over.
You can listen to a “Birds in Distress” audio recording here
Make your own: There are companies that make recordings/speakers for that purpose, but bird distress sounds can be found on youtube. They can be recorded on smart phones and other devices to make your own recordings. If your smart phone voice recorder doesn't work well enough, there are many audio recording apps (some are free) available for iPhones and android phones.
Here's a recording that's part of an ad-- just record the bird distress part.
Sound level info: Recording of distress calls should be played at their natural intensity: If they're too loud, the call becomes distorted. At their natural sound level, distress calls are not intrusive to people.
Here are some other ideas:
How to Get Rid of Starlings: 10 Steps (with Pictures) - wikiHow