car dies at first start?

since it has been getting colder the past few weeks my car has been acting funny? when i get in to start it, about 2/3 of the time it will die immedatly after it starts, then i hit the key a second time and it starts right up?

it has been about 6 months since it last plug and cap change so idon’t think it is that any ideas?

also some times when cold at low rpms in first gear leaving a stop light it will spudder till i give it more gas but it has done this only 3-4 times in like 2 months, i don’t think the problems are related but they might be? what do you guys think?:think: