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The forecast maps tell a simple story: an intensifying low pressure system in the north-central United States and a slowly- moving trough of low pressure extending south of it to Texas. JAN, meanwhile, is under southeasterly geostrophic winds the whole time, judging from the orientation of the isobars. Remember, geostrophic winds are the winds required so that the Coriolis force balances the horizontal pressure gradient force. Furthermore, the wind speed is probably on the increase, since the isobars get closer together with time, indicating that the pressure gradient is strengthening. The closer together the isobars, the stronger the geostrophic wind.
While I'm looking at the big picture, what's the precip like? This four-panel map shows the forecasted distribution of precipitation for the four successive twelve-hour periods. While some minimal precipitation makes its way into Mississippi, it doesn't look like the computer is forecasting any rain for Jackson itself.
The overall picture I get from these maps is that there are no major changes in store for Jackson over the next 36 hours. The current weather regime will continue, with southeasterlies at the surface and rain over Texas but probably no closer.
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