The Strava activity is invalid. Two individual kilometers come out at about 5 minutes, which is not possible (though a long-term goal of mine as far as race pace is concerned). I also got a "PR" for a single, arbitrary kilometer. I've flagged those segments as such.

The first, second, and fifth kilometer look accurate, though.

My chip time was 34:40.5. Reasonable. About a 6:55/km pace.