For your first question:
The 90/180 rule is a moving time frame. It does not get reset at any specific date. See this sample Schengen 90/180 rule calculation that hopefuly will give you an idea how those dates really are calculated:
Schengen calculationhttp://www.maxi-pedia.com/forum/index.php?topic=562.msg1838#msg1838For your second question:
You can take advantage of the national visa after the tourist visa without worrying about the 90/180 rule, but unfortunately not the other way around. Having national visa after tourist visa - the 90/180 rule does not apply. Having tourist visa after national visa - the 90/180 rules does apply. See here for more information:
Schengen tourist visa after study visa expireshttp://www.maxi-pedia.com/forum/index.php?topic=288.0