To use a pivot table, make sure all your data is in columns and each column has a unique header. When you create the pivot table, select all of the relevant columns as your source data (so A:F and not A1:F100).
Put your Date as the first value in your Row Labels field. Then, in the pivot table, right click on a date and select Group.
This allows you to group your data in time intervals of your choosing. If you want you can sort everything per week, you can do this.
If you want to update your pivot table with another week, just put another week of data in your source data, go to the pivot table options and hit the Refresh button.
If you only want to show a few weeks, you can also put the date in the Report Filter field (as well as in Row Labels). In the filter menu, that will appear above your pivot table, be sure to check Select Multiple Items. Your pivot table will look something like this: