Does Sync 3 have wireless CarPlay or wireless Android Auto?

Unfortunately not, those features weren't made available until Sync 4. You would need to use a USB cable or lightning cable to use these features. 

There are 3rd party wireless adapters/dongles available on Amazon/eBay, I recommend doing some research (there's a video on YouTube for example that compares like 12 of the most popular wireless CarPlay adapters) and choose one of those adapters if you wanted that feature.