Issues with batch write to txt - date

Question

I am working on a fancy Zip archive cracker and its working perfectly.
And I successfully made it write the output to a log file. however my problem is:
if I run a crack on the same file again just couple of seconds later, it will overwrite the already existing log, but what I want to do is:
if the log file already exist. it will not overwrite the log file. but it will ADD in the new output of the new crack to the already existing file so when I open the log I will then see both of the cracks that I have done in same log file.
heres the code:
(
echo ==============================================
echo Crack log
echo ==============================================
echo.
echo PASSWORD FOUND!
echo Date/time log for decryption: %Date%\%time%
echo FILE = %NAME%
echo CRACKED PASSWORD = %PSWD%
echo Tests: %PSWD1%
echo.
echo Time Spendt to crack Archive: %hh%:%mm%:%ss%,%cc%
echo Hours: %hh%
echo Minutes: %mm%
echo Seconds: %ss%
echo Centisecods: %cc%
) > %Date%_Cracklog_%NAME%.txt
if exist %Date%_Cracklog_%NAME%.txt >> %Date%_Cracklog_%NAME%.txt
ok this problem has now been solved by:
#Aacini and #mofi
Solution: Change ) > %Date%Cracklog%NAME%.txt by ) >> %Date%Cracklog%NAME%.txt and delete the next line
==========================================================================
however now I got another problem.
i managed to add in on bottom line a function that creates a directory for each crack log. wich looks like this:
"MKDIR Logs\%name%
) >> %Date%Cracklog%NAME%.txt"
the mkdir works perfectly. the point with it is creating a subdirectory under the logs folder with the name of the cracked zip archive.
and the problem that is still there is that I got no idea how to make the script to create the actual log file inside that directory,
ive been googling and testing several things but I find nothing that really works. and at the same time. if I decide to crack another file, well yeh then the scripts makes a new sub directory but then I also want the new log file into its belonging folder.
anyone got any idea how to fix that?
(thanks for all help so far<3 I love ya guys)
if you choose to help me futher. please write an example or a helping answere by clicking the answere question button so i can give you reputation :D)
==============================================================================
Edit:
Managed to find out the last problem myself, I just took a break from all thinking then went back with a cup of coffee and then voila solution popped up in my head... I guess I was just a bit tired. however this is how I solved the problem:
(
echo ==============================================
echo Crack log
echo ==============================================
echo.
echo PASSWORD FOUND!
echo Date/time log for decryption: %Date%\%time%
echo FILE = %NAME%
echo CRACKED PASSWORD = %PSWD%
echo Tests: %PSWD1%
echo.
echo Time Spendt to crack Archive: %hh%:%mm%:%ss%,%cc%
echo Hours: %hh%
echo Minutes: %mm%
echo Seconds: %ss%
echo Centisecods: %cc%
MKDIR Logs\%name%
) >> Logs\%name%\%Date%_Cracklog_%NAME%.txt