how do I get easily itemcount of 4 views from sharepoint list(15k items)

I have a sharepoint 2013 list with 4 views. Now I want to get only count items returned in each view from filter url

and show those items found with hyerlink to a view. I do not want to display data from each view in a single page. I just need item count from view based on filter url.

I need just results found data for 4 views to show in main page after filter is done.

for example oururl&FilterField1=ID&FilterValue1=1098

Using rest api or jquery I just want to get count of items found in each view based on above filter.

MCTS Sharepoint 2010, MCAD dotnet, MCPDEA, SharePoint Lead