i have the "half marathon, you can do it" from feff galloway. i also am heading for a 5K.;...then a 10....then to the half.
in his book and training schedule, week one is: monday off tues 30 minute run weds off thursday 30 minute run...friday easy walk
saturday off sunday one mile.
i think you could jump right into that program. i think you can get the schedule online also. also, week six would be a place for you to start too....because the last day is a a 3.5 mile run.
another great author/marathoner is tom holland. the most you will run in preparation is 11 miles with holland's approach, and 14 with galloway. my opinion is that you don't need to run 13 miles before the actual race. if you are strong with 10 miles, 13 is no big deal.
check out both books.....they are good...with a few differences, and you can adapt to what works for you. good luck!