Did he bury them? Would have been horrifying if he dug in the wrong place, as there's a couple unmarked graves around the farm already. Under the circumstances, it was better to get off world quickly and be presumed dead.
I'm sure friends or neighbors would have buried the bodies though.
I don't think he "got over" their deaths quickly any more than Leia got over Alderaan right away. There wasn't time to mourn with the Empire looking for the droids. He saw Obi Wan "die", so that provoked a reaction.