ORIGINAL: Rick James
You can do it that way, however spreading your lime in advance will give it a chance to affect the PH. Most people will say that you need at least 60-90 days to see it affect the PH at all, and 6+ months to see the full affects.
Well said Rick!
I'll add, pray for rain! You want the seeds to germinate quickly this time of the year and you want the fert (especial the nitrogen to be soaked into the soil) otherwise it will lose it's effectivness.