You can set the data precision in the _Default.ap file. This affects how the software handles dates. This file is in the STK directory that you first set when you installed and opened STK. The default location is in the My Documents folder (C:\Users\UserName\Documents\STK 12\Config\Defaults).
For example: There is a setting in _Default.ap to change the precision at which STK displays the date:
BEGIN Precision
Date 5
END Precision
However, dates in STK are accurate to somewhere between 10-100 microseconds, not 1 microsecond. Reporting dates past four decimals is not really informative, and the event detection algorithms normally strive for millisecond accuracy (or in the case of Access, 5 milliseconds, and in Coverage, an even looser tolerance).
Moreover, the step size on a Satellite Basic Properties GUI will not allow step sizes smaller than a millisecond, and the Report & Graph Manager GUI will not allow a step size smaller than 10 microseconds (1e-05 seconds).
Connect will allow you to use a smaller step size (for example, in GetReport).
Note: If you use a step size of 1.1 microseconds, then you need to set the date precision to 6 so that the dates will appear to that level as well.