Florecent light will work but it needs to be fairly bright. You can put your florecent like 2 inches from the seedling. No joke here, you will need at least a 150 watt LED light. Good place to look is not amazon. Starter lights best found at Mars Hydro or spyder farmer. Indoor growing isnt cheap. Its a high initial investment, Likely spend 500- 1000 dollars or more for equipment seeds and soil and nutes.
This is ok but more work then it seems and expensive the farther in the grow you get. Distilled water is not ph stable so using it you need to add calmag to it to give it enough tds to hold its own ph
Dont know about all but the ones you pulled yes. Seedlings dont get watered they get misted. Overwatering allows for fungi to attack week seedling roots. Germ seedling phases are the weakest for your plant. Its literally the hardest part of a grow they are sooooooo weak for first like 2-3 weeks.
Dont let the fungi hold you up, your biggest problem is light deprivation.