Many BSODs, I *think* while Chrome running.

How old is the surface book?

Due to the different crashes I believe this to be an issue that needs physical replacement.
The hard drive related events could indicate hard drive issues, but you would be very lucky if the hard drive would be the sole cause.

Code:

2018-02-03T13:03:34.443		An error was detected on device \Device\Harddisk1\DR5 during a paging operation.
2018-02-03T12:57:19.019		An error was detected on device \Device\Harddisk1\DR4 during a paging operation.
2018-02-03T12:57:19.019		An error was detected on device \Device\Harddisk1\DR4 during a paging operation.
2018-02-03T12:57:19.019		An error was detected on device \Device\Harddisk1\DR4 during a paging operation.
2018-01-17T17:42:55.412		The driver detected a controller error on \Device\Harddisk1\DR2.
2018-01-07T17:06:43.431		The IO operation at logical block address 0x10004 for Disk 1 (PDO name: \Device\00000424) was retried.
2018-01-05T21:01:04.690		The IO operation at logical block address 0x0 for Disk 1 (PDO name: \Device\000003c8) was retried.
2018-01-05T20:58:22.480		The IO operation at logical block address 0x0 for Disk 1 (PDO name: \Device\000003c2) was retried.
2018-01-05T20:57:40.054		The IO operation at logical block address 0x0 for Disk 1 (PDO name: \Device\000003bc) was retried.
2018-01-05T20:01:09.451		The IO operation at logical block address 0xae9500 for Disk 1 (PDO name: \Device\000003b9) was retried.
2018-01-05T20:01:09.451		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T20:01:09.451		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T20:01:09.451		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T20:01:09.451		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T20:01:09.451		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T19:58:03.118		The IO operation at logical block address 0x8da100 for Disk 1 (PDO name: \Device\000003b9) was retried.
2018-01-05T19:58:00.658		The IO operation at logical block address 0x166100 for Disk 1 (PDO name: \Device\000003b9) was retried.
2018-01-05T19:58:00.658		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T19:57:48.458		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T19:57:48.458		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T19:57:48.458		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T19:57:48.458		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T19:57:48.458		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T19:57:48.458		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T19:57:48.458		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T19:57:48.458		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T19:57:48.458		The IO operation at logical block address 0x8d7100 for Disk 1 (PDO name: \Device\000003b9) was retried.
2018-01-05T19:57:48.458		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T19:57:44.413		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T19:57:44.413		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T19:57:44.413		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T19:57:44.413		The IO operation at logical block address 0x137d00 for Disk 1 (PDO name: \Device\000003b9) was retried.
2018-01-05T19:57:44.413		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T19:57:38.252		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T19:57:38.252		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T19:57:38.252		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T19:57:38.252		The IO operation at logical block address 0x8cdd00 for Disk 1 (PDO name: \Device\000003b9) was retried.
2018-01-05T19:57:38.252		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T19:55:01.133		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T19:54:45.864		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T19:52:57.601		The IO operation at logical block address 0x14a0580 for Disk 1 (PDO name: \Device\000003b9) was retried.
2018-01-05T19:47:18.056		The IO operation at logical block address 0x104ae80 for Disk 1 (PDO name: \Device\000003b9) was retried.
2018-01-05T19:47:18.056		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T19:47:18.056		An error was detected on device \Device\Harddisk1\DR12 during a paging operation.
2018-01-05T19:47:13.157		The IO operation at logical block address 0x1030a80 for Disk 1 (PDO name: \Device\000003b9) was retried.
2018-01-05T19:29:37.819		The IO operation at logical block address 0x0 for Disk 1 (PDO name: \Device\000003b3) was retried.
2018-01-02T02:22:38.359		The driver detected a controller error on \Device\Harddisk1\DR6.
2017-12-28T03:37:10.216		The driver detected a controller error on \Device\Harddisk1\DR1.
2017-12-26T12:11:09.453		The IO operation at logical block address 0x5e6b81 for Disk 2 (PDO name: \Device\000004e9) was retried.

Diagnostics Test

 HDD TEST

   Note

Run the tests on all hard drives/partitions!

Please run HDTune first, in the order posted!

Run HDTune to

• check the health,
• scan for errors, no quick scan but full scan
• run a benchmark.

It may take some time, but please take the time you need to perform it properly.
When above is done please make screenshots of the following

• the health,
• the error scan,
• the benchmark incl. following
  
  • transfer rate,
  • access time,
  • burst rate,
  • cpu usage.

Run SeaTools DOS to check the integrity of your HDD. SeaTools for DOS and Windows - How to Use - Windows 7 Help Forums
Run the long test.

   Note

Do not run SeaTools on an SSD as the results will be invalid.

Make a photo of the result and post it.

Run chkdsk
Disk Check - Windows 7 Help Forums
Use option TWO with parameter /r
Upload the chkdsk log Check Disk (chkdsk) - Read Event Viewer Log - Windows 7 Help Forums