How to Find a Model Number
Check the water pressure reducer and water valve nozzle outlet. If water is spraying when filling water may splash and drip into the bin, which then freezes the existing cubes together, ....it's imperative that there is no stray water going anywhere.
water is splashing / spraying outside of tray, Including into the ice bin. Clearly this is the problem.The water flow into the tray does appear to be a little inconsistent, varying in strength and amount. Is it possible or likely that the solenoid or the water pressure could be causing this? Seems unlikely to me.
Reduce water flow to fridge at tap/valve
Do you see altering pressure or flow as a soution when the icemaker and distiller pump pressure have been OK for 5 years?