Hi Clasi- and welcome. In my opinion watermelon is one of the most challenging fruits to ferment for wine largely because the juice tends to begin to spoil before the yeast are able to out-compete spoilage organisms and oxidation of the fruit.
That said, I am not certain that you can salvage what you've got. The larger problem may be oxidation of the juice and I think of oxidation in exactly the same way I think of rust except that with wine there is no way I know to mechanically (or chemically) remove this rust.
What you might do if the problem is spoilage organisms is add enough K-meta to kill all the bacteria and the yeast in the juice and then after 24 hours re-pitch the yeast, but before re-pitching the yeast I would create a starter (perhaps by adding the yeast to a cup of orange juice or a cup of spring water into which you have dissolved a tablespoon of table sugar. After three or four hours when you see that the yeast is really active and there is a great deal of foam and froth then add the yeast ...