Yea Alt problems are definately norm mine did it since I got it.
As far as the cold goes mine gets problematic in the cold as well will turn over but wont start sometimes as well. I so far haven't found any problems. What I did find interesting tho is on the cold days get in and turn key to on for a few seconds turn off then start. Don't know what that does but it always works for me.
2000 Red 1SC Z28 A4 - dead for now
2005 Black GTO M6 6.0 - Split daily driver
1987 Silver Fiero GT - Split daily driver