^^^ Sorry to hear it, man. Good luck with the job search.
Definitely look for a playground, they usually have some kind of equipment you can use for pull ups and chins.
As far as added weight, check thrift stores for backpacks -- you can probably pick one up for a couple bucks and throw some books in it for added weight for squats, lunges, pull ups, chin ups, push ups, etc.
If there are woods nearby you could try poking around for rocks and logs you can lift. Be careful about footing and watch out for bugs.
If you have a car, or know someone with a car, you may be able to do car pushes in a quiet parking lot.
Finally, do you know anybody with a weight set, or with access to a gym where membership isn't gonna be an issue? For instance, a friend who lives at an apartment complex with a "fitness center" where residents can pretty much come and go as they please, with no supervision? Maybe they can help you out 'til you get back on your feet.
Be creative, you'll find ways to make it happen.