I hate running too, but I had to do it to get in shape. Can't do 10k runs yet. I'm doing more like 2.5k runs. Long as I need to do though to meet my current goals.
Is there a technique to improving endurance, other than just keeping at it? I seemed to make some really good progress at first, then hit a wall. Unlike weight lifting, where as long as I've kept at it, I've steadily improved. The only thing holding back my weight lifting is my paycheck - I've increased my appetite to the point where I run out of money feeding myself. Damn small income.
I found that once you get up to about 5km, its a lot easier to just keep going. Try bumping up to about 3km, two days in a row then a day off, then repeat, try that for maybe a week then take a day off then try a 5km.
When i got to 8km, i did 5km two days in a row, a day off then 8km, then a day off.