Generally in an area where you haven't conducted a proper soil test and applied the suggested amount of lime and fertilizer than you're best bet is going with something "grassy" and fast growing like Wheat and/or Oats. Clovers can be very picky as to where and when they grow. Another forage that I've found that does well in poor soil and without a lot of light is any Brassica blend and when Fall planted they become very attractive later in the season. For as small of an area as you're talking about, I'd be more apt to try one of the products like Extreme or Hot Spot, something that is formulated to grow fast and nearly anywhere. Try not to simply throw down a ton of seed, over seeding is a waste and if anything, can impeed your results, not improve them. Also, you want to get just a select number of seeds so when something does come up you can easily indentify as a forage species and not a weed. Good luck