I'm not going to lie, it was a struggle, but today I completed a parkrun with no walking! It's not pretty, it's certainly not speedy, but I really can run 5k now. I came in in 39 mins something, so I'm doing 8 minute k's at this point, and an extra 9 mins is quite a step up.
Time to find myself a new programme (and maybe some new gismo's) to play with. Any recommendations?