I agree with the others who've posted a reply. You're in the base-building phase now, the period where you're GRADUALLY building and strengthing all the muscles, tendons, blood vessels, etc. used in running. For example, as you continue to exercise the "running muscles", your body will create new capillaries to supply more fuel and oxygen to the muscles. This, of course, doesn't happen overnight, but over a period of months. And this is just one of the gradual changes that are taking place.
If you try to do speed training before your body is ready for it, you are inviting injury. Take tour time, enjoy the process. Gradually increase your run/walks and weekly milage, guided by the 10% rule. (Don't increase your longest run/walk, or miles per week, more than 10% from week to week.) That doesn't mean you HAVE to increase 10% every week, just don't generally exceed a 10% increase.
My advice...let the next 6 months be for base-building only. Work on increasing you daily run/walk and your weekly milage. Throw in some aerobic cross training as well if you can...swimming, cycling, elliptical, whatever works for you. And don't forget that REST days are necessary to allow the body to maintain and repair itself.
Welcome to the running club!!!