Well, there is little point in putting seed down on soil it can't grow in.800# of pelletized lime - 1/2 the amount recommended for my soil - incoming. As well as 150# of 10-18-10 fertilizer, because my soil phos levels are so low. Will have to drop 10-10-10 in the fall.
First time I've fertilized the pasture. By the end of this year, we'll have real results. Worth it??? or Not???
On our sand in our wettish climate, spreading lime always returns well more than the cost of buying and spreading the lime. It is so whether one spreads half as much or all that the soil needs. I assume it would be the same for you.
Pelletized lime isn't immediately available, though. If your soil is severely sour, you might spread some of the lime as powder if you want to see the results this year.
You could also do test plots - ten by ten foot sections side by side. Then put different amounts of lime and or fertilizer on each. Seeing the differences for yourself can be worth more than reading about it.