I think you have way too much pump and the wrong kind of pump. Irrigation pumps are usually straight centrifugal pumps and don't have a lot of lift. Also, irrigation pumps have high flow which means that it would pull down the level in the well if it pumped at capacity.
I would have selected a shallow well jet pump to pump what you need for water; maybe 6 GPM. The jet pump will operate better at greater lift and will not be as likely to over-pump the well.