If you use Measure Names and Measure Values, this should do it for you.
Put your date field on Columns, put Measure Values on Rows, and put Measure Names on Color. Make sure to select the measures you want to display in the Measure Names filter.
As far as renaming your measures, sometimes Tableau can be a bit picky about where you do this. The easiest and best way is to actually change the name of the variable you're using. Otherwise, try editing the Alias in the color legend, or try putting Measure Names on Rows and editing the alias there. You may need to experiment a little with this...
Hope this helps!