When its been really cold, in the morning the car is a pain to start. It
will start first time then cut out after 10-15 seconds.

When trying to start it again, you have to keep revs up and also it sound
like a tractor for the first few seconds.

Also, when driving, say going 80mph at 4k revs, the injector light will
come on, and the revs will drop to the bottom, and car, for a split second
dies, as if stalling.

Its really pissing me off, and can be dangerous, esp, if i go to pull out
and loose all power for a split second.

Any advice would be reallly appreciated. As i say, it only happens when
its been really cold, i.e a frost.
Its 1.2 16v  punto cab on an r plate.