As others have said, a bowl is NO PLACE for a fish. If you were told it was okay, you were grossly misinformed. Goldfish get HUGE, they are notoriously dirty and produce a lot of waste and need room to swim. In fact, ONE goldfish should not be kept in under a 20-30 gallon tank. You need to either return that fish or upgrade to get a proper sized tank. Otherwise, that fish will certainly die.
If you are not interested in the fish, I suggest taking it back to where you got it. Fish require money just like any other animal and you have the responsibility of caring for it properly.
Do you know what cycling is? I can tell you that it can't happen in a goldfish bowl. Fish need certain bacteria to survive and those bacteria grow on filters. In a bowl, without filters, these bacteria cannot grow and keep the water stable.
As for the water temperature, don't ever add hot water to the bowl - especially for a coldwater fish! Try adding water that is room temperature. You need to get as close to the bowl water as possible.
Getting your fish out of that bowl is your first and foremost priority; don't worry about the spots, whatever they may be, until you have adequate housing. ALso, adding medications into a tiny bowl is a recipe for disaster. And until you can get another tank/return the fish, do a daily water change on that tank - using dechlorinated water ONLY - and keep it somewhere where the temperature isn't too warm or too cold (65-70F).
My overall suggestion is this: Return the fish until you have fully researched the care required for keeping fish - OR - research as fast as you can (starting in the freshwater general section on things such as stocking and cycling) and get a new tank ASAP and try to get on the right track with the cute little fish you have
Sorry to sound harsh
