Went for my 2nd run today, would love feedback on stats

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went for my 2nd 5k run this evening (4 days after the 1st), really pushed myself (too much at the start) and suffered badly between the 3k & 4k mark having to slow to walking pace for 30 seconds on two occasions but even so I still improved a lot on my 1st run and even managed to pick up the pace in the last 1k.

Here are my 2nd run stats (1st run for comparison)...

Fastest 1k = 5m 7s (6m 18s)
Fastest 1m = 8m 48s (10m 30s)
Avg pace km = 6m 6s (6m 42s)
Total time for 5k = 30m 32s (34m 22s)

Really pleased with the differences in just my 2nd run and if I can run it next time without having to slow to walking pace I am hoping to break the 30min barrier which I've made my current goal.

I'd appreciate some feedback on these stats/improvements/advice (I'm 36yo) and if your happy to share I'd love to know what other peoples stats are (now & when you started).