I'm new here. Thanks for sharing your story!
I haven't ran since I was about 12, I'm now 25 and weigh 250lbs at 5' 4". I had a baby via c-sec 15 months ago, not the bikini cut either like some lucky moms get. 
I bought running shoes and bra. I live in Michigan and it's way too cold to be running outside right now. I have a treadmill but I live on the second floor of my apartment and afraid of feeling like I'm gonna fall through the floor, so I'm just walking for now.
I signed up for a 5k on May 31st. That gives me 3 months to train... I have the C25K app on my phone, which I like, but physically I'm unable to do the 1m in walk to 1.5 min run yet. I'm at 5min walk to 1 min run... Do you think 3 months is going to be enough time?
Any advice, tips or helpful links?