If you are new to running, it's best to run every other day. The reason, your body makes the adaptation to running when you are not running, so if you do not allow for proper repair and recovery between runs, you may increase your risk for injury. Know that most running injuries do not occur overnight, but are weeks and months in the making. This is where cross training can be a big help...the elliptical, cycling even walking are great cross training.
As for strength training, it is best to focus on those exercises that strengthen you as a runner--things like squats, lunges, bridges, etc.
I hope this helps!