Recently got a 2008 22ssv, and after a run it can die when I bring it down to idle. It starts right back up, but it dies nonetheless. Is anyone familiar with this?

I have also noticed that the red light by the helm comes on in idle at times, and the warning label said that it has to do with the oil pressure, but the pressure gauge seems to be fine, and the crankcase isnt low on oil. Is this related to the dying issue?

Thanks!