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1) compare open and closes as well as lows and highs between candle sticks (for example candle i's low is higher than candle i1's low)
In the TA icon you have high, low, close and open prices. Adjust the shift to compare different bars (shift 0 = current bar, shift 1= previous bar).
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2) use the candles from a heiken ashi chart not a standard candle stick chart to compare ( I dont see this in the indicator list)
heiken ashi does not come with MT4 so it is considered to be a custom indicator. You can import it and use it in the strategy builder. However, there is no easy way to get the signals you want - you would need to use the indicator builder to create the signals - unfortunately for that indicator it is really complex (heiken ashi is made of many signals that when put together look like candles)
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3) set an alarm with the indicator if the candle pattern is formed
You can create alerts with the strategy builder. Create a normal ea and in the start icon set alerts instead of trading.