Scan for price comparison at two specified times

Item one from your list is impossible. Seems you described a situation where today's low and yesterdays low must both be the lowest of the two days. Obviously that is impossible. They can't both the lower than each other. When you correct for that we might take one side of that. Let's take this one: "today’s low is below yesterday’s low"

plot scan = close < close[1];

That must be a separate scan from the rest. You have to run this on the daily time frame and the other two elements of your scan must run on an intraday time frame.

Items 2 and 3 are quite complex to solve. I barely have time to complete one in the space I provide for free solutions in the Q&A forum. You can modify this to get #3 but I really don't have time to work that out.

input targetTime = 1000;
def newDay = GetDay() <> GetDay()[1];
rec targetPrice = if newDay then 0 else if SecondsTillTime(targetTime) == 0 then low else targetPrice[1];
rec trackLowOfDay = if newDay then low else if low > 0 and low < trackLowOfDay[1] then low else trackLowOfDay[1];
plot scan = trackLowOfDay < targetPrice;