RE: Improving Clover
I can't speak to the frost seeding but without a soil test, normally about 200 pounds of 0-20-20 every spring is all you need. If you needed tolime the plot to raise the pH when you originally planted, add 1000 pounds of lime right over the top of the plot. It will keep the pH around neutral. Both of these can be done anytime of year but once per year is sufficient. I do it in the early spring every year.
Soil test every 2-3 years to see the nutrient profile and adjust accordingly.
The weed issue will not be solved by frost seeding. It'll help some but you will have grass or weeds or both in the field. If they pose a competition problem I have seen poistive posts on a product called Arrest to kill the grasses.
I used Slay last spring to kill out a broadleaf problem in my clover. I think there are alternatives but my plot was only a couple acres and I didn't need a gallon. I think it covered 30 acres. I also read where Slay has a residual that would keep someweedsout for a couple years. I'll know this spring.
O