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It is likely that its a little too late in the year, given summer is coming to an end, as these plugs might not have time to get established well enough. Now, on the other hand, taking some indoors until next spring can be a good idea, simply because then you know you at least have some well established plugs. You might even think about doing as many as you can keep up into some 1 gallon pots,or bigger. Just to have some to either plant as is, or to split up into smaller plugs. Here is an article that will help: https://www.gardeningknowhow.com/lawn-care/specific/zoysia/planting-zoysia-plugs.htm

Since it is a warm-season grass, plugs should be planted in late spring/early summer when the soil temperature has warmed to 70 degrees. The Florida Extension Service has details on achieving success with zoysia grass and the different varieties which are available. http://edis.ifas.ufl.edu/lh011

It would definitely be faster to put out more plugs than you originally planned, however, eventually they will take over either way. Make sure to keep this grass evenly watered for the first two years, and it will speed up the process a little.

Here is an article that will give you more information: https://www.gardeningknowhow.com/lawn-care/specific/zoysia/planting-zoysia-plugs.htm

I don't think rolling it would hurt it in any way. It sounds like you have a fungal issue in the soil. Wettable sulfur can usually take care of the issue. The zoysia will be hardy enough to repopulate in no time. Here is a collection of articles for more information on zoysia: https://www.gardeningknowhow.com/lawn-care/specific/zoysia/

Controlling Zoysia Grass Zoysia grass spreads through underground rhizomatous runners. One of the best ways to keep zoysia out of neighboring lawns or garden beds is to establish good borders. You can accomplish this by installing lawn edging that zoysia is unable to get through, such as plastic or aluminum. Place the edging in the ground at least six inches deep with another two or three inches above the ground to help keep zoysia within its boundaries. Read more at Gardening Know How: Removing Zoysia Grass: How To Contain Zoysia Grass https://www.gardeningknowhow.com/lawn-care/specific/zoysia/controlling-zoysia-grass.htm

Typically, Spring is the best time to do this. This article will give you more information: https://www.gardeningknowhow.com/lawn-care/specific/zoysia/no-fuss-lawns-with-zoysia-grass.htm