Is there an initial strength test in the US Army Basic Combat Training?

I leave for OSUT on July 19th and am HORRIBLY out of shape. I was really depressed and down for the past 7 months and stopped working out and was about to get out of DEP until i stopped taking my medicine a few weeks ago and feel GREAT now. I can barely run 1/2 a mile, can do about 3 push ups max, and can do about 40 situps in 2 minutes. Will i be able to do the training? Is there an initial strength test? Can someone help me formulate a workout plan that will get me more ready before I leave? Thanks (and I AM going to give it my best shot and I will NOT fail at this!)