I do not have any problems with the device itself but I had a question regarding the Pro Toolkit. The P2 Pentaloob screw...

I have just ordered a new SSHD for my Macbook Pro Mid-2012 and recommend this retailer. http://www.drivesolutions.com/cgi/shop/u... They have a vast archive of parts compatible with your device. The best part is all their Drives have a 100% compatibility guarantee so you know it will fit. Just click on a drive of your choice and it will give you a list of compatible models. I purchased the 2 TB SSHD for the price and performance. I have not found any that specifically state they fit the Mac Minis. I did however find Ifixit itself has some available. 1 TB SSD Hybrid 2.5" Hard Drive This is not a full SSD but it sure beats the performance of a standard HDD.

Have you checked to make sure you have not loosened any other connections? You could try trying out a new home button but ultimately it could be a faulty screen or worse... a faulty chip within the phone. Have you tried looking into changing the settings? Could it be that the Taptic Engine is loosening connections? If anything try lowering the response of the Taptic Engine as you continue troubleshooting.

Replacements are rarely close in performance to the original. I have this problem with a first generation IPad Mini (one section of the replacement screen is completely unresponsive). I recommend inspecting the connection between the screen and the phone (if possible). Try checking if the connection is lose or damaged. That in turn, would provide reasoning to why the phone is having difficulties detecting the replacement.