Using the information in the table, answer the following questions:

$1.$ Load the data from the table into a Pandas DataFrame.

$2.$ Replace any missing values with the mean rainfall for that respective month.

$3.$ Identify and handle any outliers in the 'January$\_$Rainfall' column.

$4.$ Filter the dataset only to include regions that received above $200$ millimetres of rainfall in January and sort them from highest to lowest based on their January rainfall.