Honda Insight - short distance per day

Hi form Poland, Europe.

I thought about buying a Insight, but...

1. Hybrids cars should be a city cars. But very big cities, I think.
I live in 130k city, distance to work - about 3.5 miles / 5.5 km (15-20min driving). Daily about only 7 miles / 11 km (ofcourse this is minimum distance per day - from time to time I want to go for shopping or something else, but in most weekly cases - home>work>home). I barely don't use car at weekends (two times per month about 40 miles).
Is Insight (in general hybrids) good choice for that small distance? What about IMA and 12v battery, then?

2. Winter in my country is quite cold - at night about -4F (-20C). I have no garage, so car must stay outside all the time.
So, in conjunction with point 1, I'm afraid that each day I would be replace 12v battery to start engine .

What you think about that? Is it risky that car won't work properly?

Thanks for advice, and sorry for my english if I did mistakes .