Was the laptop dropped before it stopped working? if so Id be very cautious about using the drive at all as may be a physical issue with the drive (ie heads / platters) Any further spooling can worsen the damage.
If not dropped, Is the drive discoverable when you go into your “my computer” > Manage when connected via USB? if so then the data should be partially recoverable as more likely a boot sector / boot loader problem. If its not showing then would indicate towards a hardware issue as above.
If it is discoverable Ive had good results with DDR- NTFS recovery, did leave the entire drive structure on recovery, and a lot of the file names but good in an emergency.
DDR Software
I would recommend cloneing the drive first before you attempt anything to drastic, and work on the cloned copy, again in case there is any physical damage.
And invest in an SSD drive as a replacement … fewer “surprise” issues with them.
+1
Also, stop calling your work IT Support people geeks.
Nothing makes me engage my couldn’t care less filter faster than when colleagues hit me up for a homer and then call me a geek.