Not over your head, Alli but wine from watermelon may be the most challenging wine to make in part because of the very little amount of flavor that watermelons have (ferment out all the sugar and you are left with a shadow of a flavor + alcohol) and in part because watermelon often goes 'bad' before it has a chance to ferment. My suggestion would be to go to your local supermarket and look for the bottles of pure fruit juice (not necessarily in the chiller section). There you are likely to find everything from pomegranate to apricot, from apple to mango and these fruits make good wines (not great , because you are not macerating the fruit on the skins, but good).
To increase the temperature what you might want to do is buy an aquarium heater and place your fermenter in a plastic dish washing bowl filled with water. You then attach the heater to the inside of the bowl These heaters are submersible and they will increase the temperature of the water to about 78 F.
The basic issue is that if the yeast are not sufficiently active in a watermelon must then bacteria will out-compete the yeast. You need to ensure that the yeast create an environment that best suits them and is hostile to competing bacteria and fungi. Higher temperatures (within reason) turbo charge the yeast.