You are supposed to be immune to that strain. But virus mutate. And the more people are infected, the more chance for the virus to turn into something that you can catch again.
I don't think you should be that confident this disease has not apexed yet. You can't be sure of immunity at this point. It "s not any more safe for you then anyone else. Take care and take precautions. If you must go out be careful. You'll be better off.
The amount of time a person may still shed the virus after recovering is unknown. There have been reports of people having positive tests 5 days after initially testing negative. However, its not clear if the initial negatives test results were false negative. Only the positive results taken later were confirmed with PCR. So, there is just a bunch of speculation at this point.
Based on immunology in general and results of testing with similar SARS viruses, it is extremely unlikely that a person could become re-infected with the same virus within a few weeks. That type of scenario is nearly impossible because IgG antibodies have a half-life of roughly 3 weeks. So, if enough antibodies are present to recover from an infection, there would typically remain enough antibodies in the system to fend off any additional exposure for several months. So even though there is some question whether some people may still harbor the virus after symptoms disappear, this is not a given, and also probably not at all common if it happens at all.
The CDC guidelines are at the link. It would be prudent to consider yourself capable of spreading the virus up to a week after recovering; which is longer than the CDC suggests.