Erik,
Great work!
Yes, I think you could push harder next time for the first 10 minutes. This was a negative split, which always leads to the best results. However, your negative split was about 30 seconds (per mile) and the goal is 2% or less, or about 9 seconds per mile faster the second half than the first.
Consider dropping your threshold pace by 5 seconds per K based on this result, as I think you would have been there if you started out a bit faster.
No change to LTHR. Yes, even though you started slow, that first 10 minutes is really just o get the HR elevated close to LTHR, and the last 20 should be accurate for you.
David