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The high 3 bars ago would be HIGH() not HIGH(). You could also use HIGH(2) to get the same result, but don’t put a 0 in the parentheses if using square brackets.
For inside bars we have a BarTypes() function that will automatically find them, so BARTYPES(DEFAULT=Inside) can be used to find when yesterday was an inside bar.
As for the horizontals, they can be drawn using a Show Plot, so to plot the month/week high use HIGH() and click on the text to change the Timeframe to Month or Week:
To only plot the current month high use LAST(HIGH(Month(PERIODAMOUNT=1)))
To only plot the previous month’s high: LAST(HIGH(Month(PERIODAMOUNT=1)))
Hope that helps!