Welcome to the forum.....
It does look like she is dropping eggs and that is not uncommon-Females have unripe eggs in them all the time and drop them and either eat or not or reabsorb them on a regular basis.
Also, when they either eat or reabsorb the eggs-its not uncommon for their poop to look different-sometimes creamy/white in color for a few days-not to be confused with internal parasites and treated needlessly.....
Right now what I would recommend-clean water treatment-I would make daily 50% daily water changes for 3 days then 50% every other day for 4-5 more days-Then once we know more about your setup we can get you on a regular schedule water changes to maintain water quality.
You may or may not need a heater, however, its a good idea to have one on hand. Your goal is to maintain a somewhat stable temp in the 76-80F range.
You do need a thermometer to monitor the tank temp and to check the temp of the replacement water used for water changes.
The only chemical additive you need IMO-Is a good dechlorinator that covers chlorine and chloramine if you are on city water supply-If you are on well water you may not need it-but it won't hurt to use it either.
Nutrition-good quality varied diet fed in small frequent meals-If you have access to live mosquito larva offer several rinsed for one meal a day to boost protein intake to promote healing and immune response.
Info we need-tank size, additives on hand, filter, live plants and supplies you have on hand.....