LL. No one listens.

Nothing is deficient, so no major impediments to establishing or maintaining turf.

Both pH and and potassium are a bit short of optimal. Raising pH to above 6 will help make nutrients more available, but initially, an application of lime can have a short term opposite effect. Therefor, I'd avoid lime prior to or during seeding. It can be addressed later in the Fall or next Spring after a buffer pH test.

Phosphorous is very high. Any idea what the past use of your property was? Crops, animal pen (chickens, turkeys, cows)?

Avoid applying any P from any source.

Use an N fertilizer with a 0 second number and higher third number (like 24-0-11 or even a 35-0-5) when you fertilize this year. Re-test next year and adjust accordingly.

The property was used for livestock, and how much and when should I apply the fertilizer?

I would suggest 1/2#/k of N at seeding (if you were to use the 24-0-11, that would be two pounds of product/k) and another 1/2#/k N after the first mowing.

As I'm not familiar with Centipede, I was going to suggest you locate a recommended fertilizing schedule for centipede. I found one, it says 1-2#/k of N per year, So you'd apply a full pound of N/k in late June/early August. See link.

However, you better read their statement regarding high phosphorous and Centipede.

http://www.clemson.edu/extension/hgic/plants/landscape/lawns/hgic1215.html

Any recommendations on what seed to use?

Sorry, I'm a cool season turf person.

Centipede apparently prefers pH 5.0-6.0, with 5.5 being the target. So you should not apply lime. Here is a link.