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Try to keep off the newly installed sod until it becomes well established, usually within a couple weeks to a month. The most important part of proper care for new sod is irrigation, especially in warm weather. Generally, new sod needs to be watered every two to three days. Give it a thorough soaking, about an inch or so deep. Check for root development periodically to make sure that rooting is taking place. Once it has taken hold, you can begin to gradually decrease the amount of watering.

The following articles should be helpful: https://www.gardeningknowhow.com/lawn-care/lgen/aerating-your-lawn.htm
and
http://www.clemson.edu/extension/hgic/plants/landscape/lawns/hgic1200.html

This article might help: http://www.turfgrasses.com/info/kikuyu.html

or this one: http://lawngreen.com.au/kikuyu_lawn_care_and_maintenance_tips/

I would suggest entering ”Scotts Pro Lawn turf” into a search. This way, you will have access to much more information than could be offered here. I’m not aware of a reference to suggest, and as with most information, it’s about out of date once printed.

It would depend on temperature, light, water, soil fertility, time of year, type grass, zone, height of deck blade, height desired and motility.

If you mulch them, it is fine and can actually be helpful to your lawn. You do want to be careful not to leave too thick of a layer though, as this will block sunlight to the leaves in the spring and the grass will die off.