1000 square yards is equal to roughly 0.20 acres, so you need to add 6 tons x 0.2 = 1.2 tons of lime. That is a lot of lime to add to a small plot at 1 time, so maybe do half now and half next year. Incorporate it by disking if you can.
This is an oversimplification to a somewhat complicated answer, but it should get you moving in the right direction.