Sorry for the late reply. Hopefully you are still in the run! 
I started to pick up running last summer and also used the C25K program. In the beginning, I could hardly run or jog 1 minute without stopping. But I was determined and committed. In October, I ran my first 5K race. So it can be done. My tips are (1) Do not give up. Be consistent and be persistent! (2) Learn the technique... I first thought running is just running, but when I found myself gasping for air and my legs feeling like heavy metals, I knew I must not be doing it right. So I searched on youtube and watched quite a few training videos about how to breath and how to position arms and legs. That really help. I ran slowly at first to make sure I applied those techniques until they became natural. (3) You could repeat week 1 or week 2 or 3 for however long you want. You set your own goal. There is no competition. You are just competing with your own goals. (4) Don't give yourself excuse and take too many rest days in between. Experts may disagree. I am just a novice but my experience tells me it's better to get moving every day. Even only run/jog 1.5 miles or for 20 minutes is better than not doing it at all. I would like to limit myself to only 1 rest day each week and usually the following day it will be a longer run. Yes, you may feel a bit pain in your muscle but that's exactly meaning the muscle is getting stronger and you will be able to run longer and faster.
The hardest thing to do is to get up from the couch and get active. You already accomplished that!! So now jjust keep doing it. Your body will thank you!