You may try pressing Ctrl+Shift+T on your SB keyboard while Edge is open. This might restore up to 10 previously opened tabs. But I doubt it would work after a reboot. Try for yourself.
And unfortunately, Edge doesn't have the functions of remembering previously open tabs and syncing open tabs across devices, as of now. It may be added later.
Meanwhile, to access Edge's history section, you need to press the Hub menu button (it looks like there horizontal lines) situated beside the URL bar and then go to the History tab.
PS:- You can also pin important tabs in Edge by right-clicking on the tab. Pinned tabs stay open permanently until they're unpinned.