A spoon of dry malt is really not much of a starter to speak of.
In general, if you want to make a starter from washed yeast, you can just follow the procedure for a starter you would follow when using a fresh vial or smack pack. Here is a good basic starter procedure:
Yeast Starters - Home Brewing Wiki
Also, when you added the DME, did you boil it? In general you should boil the water and extract, cool it, aerate it thoroughly, then add it to your yeast.
Also, depending on how long the washed yeast has been in the fridge, it is possible you do not need a starter. Here is a calculator that lets you estimate how much washed yeast you need to pitch:
Mr Malty Pitching Rate Calculator
But, I have a feeling your beer will come out just fine, just give it some time and make sure it is at the proper temperature.