If you gave it a good kill a couple times, you are off to the best start you can. One bag of fertilizer won't kill you this year but not needed, all you need is rain. lime takes time, even pellet lime. If you test it and wanted to bring the PH to where you think it needs to be, dump lime this spring for ample time to actually move the PH. Good luck.
You can plant the whole thing with clover and rye. Broadcast the the Rye first as it's a bigger seed, then go back over it with the clover. Putting both in the same seeder will just give you a headache. Both only need soil contact to grow. Hope for rain and you'll be good to go. I'd plant the whole plot with both, the rye will act as a cover crop as well. I haven't seen rye in bags less than 50 lbs (maybe they have bulk) but you won't need the whole bag for 1200 sq ft. It will be fine to save for next year, just keep it dry and in a cool area. Clover you won't need to go crazy with either, maybe 2 to 3 lbs, more won't hurt ya, it's not like a radish or turnip where it needs room to grow. Throw it all in and adjust next year if need be.
One thing you may want to think about, is oats for quick green for early season. Oats will die off as they are an annual. They will die off and turn brown with the first hard frost. your clover will prosper then. Clover will be green through mid November for sure.
next year you will need to kill the WR. Med red will grow back. Crimson or berseem will not. I like the med red though, it just grows man and they love it. I do kill my med red late may tho anyway. You could leave it, but you will have to maintain it. So for many, it's best to plant and kill off. That's why an annual clover sometimes makes the more sense for a person that can't get to their land a lot, no clean up in spring if you plant oats and an annual clover in fall.
Obviously this is just my opinion but it's based off of experience. I had many fails, many successes. Many may not agree with me, but you don't need to be a farmer to have a nice little plot that draws deer. Clover is king, when in doubt, plant clover. Ever hunt a area that has corn, beans and alfalfa? They come out of the corn, walk through the beans to get to the other green.