freestanler,
No problem. Sorry I haven't responded, I missed your reply.
Hm... I'm just not sure of an exact route for you to take, but I'll share my thoughts.
Smart Connect:
I have it installed, and i doubt it is causing your issue, but there's no reason not to have it.
It's odd that everything was working fine until you did a restore and now you have issues. Assuming the mouse is fully charged (I would recharge it fully just to rule that out), this means the issue is almost certainly driver or OS related. It's worth considering if you have the same drivers, OS updates, and settings you had before the restore.
Drivers:
To rule out drivers being the issue, why don't you tell me the name of the bluetooth adapter and driver revision date. These can be found in your device manager.
Settings:
With regards to settings, I'd particularly make sure you have the power management setting disable for the bluetooth adapter. This setting can be found by going into the device manager, selecting the bluetooth adapter, and then selecting the last tab labled "Power Management". On that tab, make sure power management is disabled by ensuring the checkbox is empty for "allow the computer to turn off this device to save power".
Another consideration is the system's power modes. In tablet and tent mode, the CPU is throttled down using DPTF framework. To rule out any conflicts, do all your testing for this issue in normal laptop mode. I would also go into the lenovo energy manager and set the system to high performance mode.
Finally, if your issue persists, try something I mentioned a few posts back in this thread. I was experiencing some issue (different from yours) where the drivers (and possibly bios) caused the wireless card to go into a problematic state. I was able to fix it via the bios by disabling and then renabling the wireless features of the system. What you should try is disabling the wireless features via the bios, booting into windows, shutingdown, renabling the wireless features though the bios, and booting back into windows. You can read more into that in the other post I wrote.
Lenovo certainly doesn't seem to care, and so it's up to the community to get the the bottom of these issues. Please let us know if anything works.