In a situation like yours the best you could do with 5k is house hacking. I would recommend looking it up on BP to find some really good article. Start talking with lenders who do FHA financing for first time home buyers and see if you can find some no money down programs that could be of assistance. I would also find a Realtor who may be able to help you start looking at 1-4 unit properties.
Another thing I would do is driving for dollars and you could wholesale properties. I would definitely not recommend doing a mailing campaign as that could burn through your 5k really fast. Again, look for some articles on driving for dollars as there are some good ones out there.
Thank you so much!