Making time for exercise & Diet Diary day 2

What a fabulous morning! Went for a run after dropping my youngest off at preschool.  I'm training for a 5km race on May 28th and have been running twice a week since early April. My goal is to beat my previous best 5km time of 30:16 from 2009. I've been running with a couple girlfriends, which is great, but find our schedules are getting harder to sync up - much to my surprise, I'm still making the effort and getting out on my own.  This is a very new feeling for me - if you've read any of my old blog entries, you'll know I prefer team sports and group running precisely because I was never good at getting myself to do things when others weren't there to keep me accountable/expecting me to show up.

I know part of that motivation is coming from the race and my goal time I want to beat. So I have a question to any of you experienced runners - do you think it would be possible to be ready for a 1/2 marathon by mid-October, based on my current ability to run just over 5km?  How much training commitment would that require, per week? With baseball and soccer season about to begin, I don't realistically see me getting more than 2 runs in a week...  Is it possible or would I just be setting myself up for disappointment?  I ran 10km last May, so I know I have it in me... And would be happy to have a goal of only 10km by mid-October, except the race event I have in mind only has 5km, 1/2 or full marathon distances, unfortunately...

Food diary:
glass water
(after 11am due to run & shower) bowl Life cereal w/milk
XL TH tea w/milk & 2 sugar

large portion of leftovers - chicken, rice, broccoli & green peppers
XL TH tea w/milk & 2 sugar
water

Chunk of chocolate truck (Easter treats...)
water

2 slices pizza (McCain's Deluxe)

That's it for today - I'm going out with friends tonight, not going to keep track of what I have and will be too late when I get home to enter anyway!