That does not sound normal to me. I barely noticed a bump on my power bill when we started operating the pool we had completed a few months ago and that included about six weeks or two months of 24x7 operation with a 2 HP pump.
You can calculate the expected electrical usage of your pump fairly simply. Determine the wattage (or kilowattage) by multiplying the voltage (probably 220) by the current draw (in amps) and then multiply that by the number of hours per day (or month or year) that the pump operates to calculate the number of kilowatt hours you're consuming in a given period. Multiply that by the cost per kilowatt hour to determine the cost for that period.
Have you been using the light(s) much? I imagine that a 500W incandescent could account for some of the abnormal increase you're seeing.
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