According to Google Maps, travelling via the M62, the distance between Liverpool and Skegness is 183 miles - and takes 3 hours 34 minutes.
We drove from the edge of the lake district to skeggy in about 4 hours, depending on traffic.
About six hours
Carlisle is on the edge of the Lake District so no time at all.
Depends upon where you are travelling from
6 hours drive from Nottingham
The shortest time is 2 hours and 36 minutes.
You don't say whereabouts in the Lake District - BUT - as an example... Shrewsbury to Kendal is a distance of 127 miles, and would take roughly 2 hours, 40 minutes to drive - according to Google Earth.
About 4 hours, or perhaps 5 if you have to drive from S.E. London.
3 times as long as it took to make district 3
How long does it take to drive from St. Louis Mo to Lake Florida
8 hours
There is no "Windermere National Park" - Windermere is one of the lakes in the Lake District National Park. There are many reasons people visit the Lake District - fell walking is a very common reason, as are watersports. http://www.lake-district.gov.uk/index/visiting.htm gives an introduction in to the types of activities that take place in the Lake District
According to Traveline, between 4 hours 30 minutes and 4 hours 45 minutes, with two changes of train.