You are doing great!!!
I started "running" 1/5/03. Last January. Actually my legs were so weak, and my 35 lbs excess weight was such a big burden, that for one month I could only walk. Started real running after one month. Started with 1 mile. Reached 5k/3.1 mile at the end of March.
Your trainng program is good, and I agree, during first weeks is better to have more rest days, to give time for your legs to recover.
As some encouragement. When you reach the 5k/3.1 mile everything will be much easier. 30 min/3 mile seems to be a magic line. I read many books, articles, running logs - most of them mention the same experience. Sore legs, lost breath during the first weeks/months, and sudden improvement from the day when first runing 30min/3 mile.
To have a race goal - the best motivation.
To buy a good running shoes - the best first step. (NB has excellent running shoes.)
I am looking forward to read your running log here, or on your web site.