Normally I try and take a day or two in between runs. However, I have a cookout to go to, I have to go to a clinic to get my medical records for a job, and I have to start training on the job. How bad would it be for me to just run two straight days in a row? Does it increase the risk on injury? Would I see diminishing returns on the amount of endurance I gain because my muscles have properly healed?
There are people that don't take days off for months, so I think you'll be ok. You would see big endurance gains by running 5-6 days a week. The risk of injury increases, of course, but if you keep the pace of the runs at the same level they are right now or slower, you should be fine.