It would be easy enough for a macro to create your new workbook and add 52 53 worksheets. Unfortunately, your existing workbook has information gaps. In the sample you posted, the first entry would be simple. Assuming you're going to use the "Planned Start Date", you would run Oct 2 thru the VBA DatePart function resulting in week 40, whereupon the macro would copy all the data from that row into the new "Week 40" worksheet.
The next entry (17 Aug) is just strange. Why is it even on the Oct worksheet? Nevertheless, the macro would still be able to compute it's new home on the Week 33 worksheet and copy the data accordingly.
The fourth entry is where everything breaks down; there is no date. Why is it on the October worksheet? Who put it there? Is there a piece of information not shown in the sample that indicates this entry belongs on the October worksheet? By the fact that it's current home is on the October sheet, the macro could narrow it down to the four or five weeks in October...but which week?
Without knowing the rhyme or reason as to how and why entries were posted to each months worksheet, you might need to resort to ye olde copy/paste method.
Good luck. 8-)