Copy Cells To New Worksheet Based On Month To Next Blank Row

Although Copy + Paste and Copy to New Row are fairly common questions I find, I am having trouble getting it to fit to what I want.

In the attached example, I have three sheets: 'TBC', 'Bland Anna' and 'Coates Beth'.

I would like to search in columns E and F (no dates will be present until row 5, but as rows 1 through 4 will not contain dates, it may be easier/involve less code to just search the columns) for a specific month, e.g. for this example search for any dates that are in January.

I would then like to copy the data in columns D through G that correlate to said date, and then paste onto sheet TBC on the next available row, not to overwrite.

The macro in question would need to go through every sheet and perform the above action, although there are only 2 sheets in this example, the live workbook will likely contain 100+ sheets containing employee sick leave.

Furthermore, and this is something I'm not sure would be feasible, everytime it copies data, I need it to pull across the name of the individual. This part is slightly more complicated as the names on the sick leave sheets are based at E2 and G2, whereas it needs to copy the names to B and C. Moving the name information from E2 and G2 would make sense to make copying easier, there are other sheets that I have excluded as they are not relevant here, but which are used elsewhere.

If this is not possible, I will have to look into reworking the layout of the information to make it feasible.

month copy test.xlsm