Most likely NOT lyme disease
Although lameness are one of the symptoms of Lyme disease, it's not the only symptom. Most prevalent are symptoms that include anorexia, fever, and lethargy. Lameness may occur with these symptoms, or subsequent to them. One might also expect to find lameness in multiple locations, along with definite swellings in the joints including lymph nodes.
You indicate that you use to live in an area devoid of Lyme disease. The disease has an incubation period of usually 2 months minimum, with a more usual incubation period of 5-6 months. Thus the time factor having just moved into this area 30 days ago doesn't fit the incubation period, unless your dog picked up the Lyme in your previous place of residence.
You also indicated in your first post the dog had been limping about 2 weeks ago, and then stopped. Then after a rough play session the dog yelped and came out limping. It sounds more like the dog has a ligament or connective tissue injury that started to heal, and then got reinjured. Recently the limp has decreased, and concurrent with the decrease of limping you admit that there have not been any long walks. Quite possibly the less exercise the better at this point.
As for the agression around other dogs that could be tied into pain due to injury. The problem with dogs is that sometimes they are just too stoic. But like us humans when in pain dogs do not prefer to socialize too much. The move to the new environment could also be contributing to it. After all your dog has no idea as to where it fits relative to other dogs in the new neighborhood.
There's certainly nothing wrong with getting your dog tested for Lyme on Monday since you are now in an area where it's endemic. If sero-negative then your Vet may try a short course treatment with Prednisone and/or a doggy NSAID to also relieve the inflammation and pain. Connective tissue injuries can take a long time to heal.