Cold problem with my 323

Ok well I got up this morning to go to work my little 92 323 1.6. Started up just fine, I mean a little hard but thats was because it was really cold out side like low 30s I think? Any way I was driving just fine for a little while untill I got to a light and stoped well as soon as I can to a full stop the car just shut off. Lights, every thing just sort of clicked off. Well about a sec after that the heater and lights came back on and my check engien light came on and my engien was off.

So I tried to start it and it started right up.

Well threw out some of this morning it did that a couple of times again but always kept starting back up when I pushed in the clutch and turned the key.

I mean is this just because the cold weather, or something else?

I mean I had my heater on full blast, and thats about it on being diffrent on the normal things I have running while driving today.

Also as a side note.

I had just had new NGK spark plugs put in a couple of days ago.

Also have a new Air mass flow sensor that was put in a couple of months ago.

Um other than the new vaule cover gasket I just put on a few days ago. The only thing I have done is put on a new oil filter and put some new GTX oil in it.

thats about it. Any help would be great thanks!