With temps around 10C you'll see approximately a 20-35% hit compared to rated range.
On 7kW, 6.5kW or so will actually reach your battery (assuming you're not using things that use climate control during this time). For 5 hours, that means you gain 32.5kWh (about 43%). That amount of energy, in the cold can get you about 104mi (assuming about 312Wh/mi in these conditions, assuming you're using the heating).
That's pretty dang close to your 105mi round trip requirement!
So it's doable, but I expect you'll have a slow drain over the week if that's your only charging. We had a similar experience when we first got ours (plugging in at all times at home was just barely not enough to cover going to work and back). You'll have additional losses for other trips (e.g. groceries), standby (if parked outside, this might be a lot), and more if you want Sentry or Summon Standby enabled.
We found it not too bad to supplement a slowly decreasing charge throughout the week with trips to town for lunch, coffee, etc. that had public chargers nearby. If this isn't how you do life already, then see if a grocery store or something else you frequent has charging stations nearby. I recommend checking out
PlugShare - Find Electric Vehicle Charging Locations Near You and checking what's in your area.
tl;dr version: Yes, likely need additional charging, but not much.