The problem I think you have is that the tech you took it to tried to run a fast one by you when he said the drive was the problem That planted the seed in your head that the drive was bad. Your old lappy died because it had other problems most likely a chip shorted or the power supply fried. Common problems in Samsung's.
When you hook a USB to SATA cable to the hard drive and plug it up into your new lappy the software senses that and calls up the proper drivers to handle the interface for you and wala it works. I have done this many many times. It might look like magic but it is simple puter stuff. The video below shows how to remove the hard drive.
https://www.youtube.com/watch?v=WKwveNSR838
Here is a link to the cable you need.
http://www.newegg.com/Product/Product.aspx?Item=N82E16812400542&cm_re=usb_sata_adapter-_-12-400-542-_-Product
To quote what I said in the comment section of your last question "I make no guarantees here but if it was mine I would be hooking it up thru the USB but then again I would be using a used system that's worn out and used for just that purpose." LOL I have never had a problem.
The problem you have with your new lappy is that Lenovo is very famous for installing malware in their system before they even ship. You may never get rid of it. The 2 links below are articles about what happen the last time they got caught doing this. Every time they get caught they just move on to another version of malware.
http://www.wired.com/2015/02/lenovo-superfish/
http://www.extremetech.com/computing/199628-lenovo-officially-responds-to-superfish-releases-list-of-affected-systems
If your just transferring files and data from your old lappy I doubt seriously that your going to transfer any malware from it.
Just out of curiosity, are you using Windows 10 Anti Virus. They have a very high rate of false positive. Meaning they flag a lot of files as infected that are not.
ESET is the best AV on the market in my opinion. They do not sell you out to corporate spyware or adware. It is not free but they do have a 30 free trail. They do not place a toolbar that you do not want or track what you do. These companies offering free AV have to make money some how. They do it by selling out to the corporation who peddle spyware and adware. There is a lot of free AV and firewalls on the market that are more spyware then security product. All AV have white list, that is one of the biggest strength to ESET, theirs is not for sell. The best thing about ESET is their PUP (potential unwanted program) protection. It will also alert you to rouge web sites that plant drive by viruses. It runs light on your system and does not lag your CPU while your working or playing.
http://www.eset.com/
Check this site to help you with your decision, it will open to real world protection test or how accurate the different AV are. Also look at the false alarm test and the performance test. False alarm test shows you how many files it identifies as a virus but they are not and the performance test show how light or heavy it is on your system. You have to pick the year and month to see the other two I recommended.
http://chart.av-comparatives.org/chart1.php