>>running shoes/basketball shoesHahaha, no grip, no insulation, no support. Rent some boots designed for this. Depending on how technical it is get up to B2 rated boots and crampons. Walking on snow up an incline is not as easy as you might think. Trust me, I've done it.
>>cotton pants/jeansNah. Not waterproof, windproof, warm, fast-drying. Get some walking trousers and put a pair of waterproof trousers on top.
>>winter jacket (not weatherproofed though)Then what good is it?
>>lighter jacketGet a hardshell. A light but waterproof layer to keep the wind and snow/rain off you and therefore to keep you warm. Stick a fleece and a long sleeve t-shirt under that. Remove when you begin to warm up, add them back when you get colder.
>>45l backpackPretty good size, hopefully has room for 2l minimum of water and snacks.
>>smaller backpackWhy?
>>sports sunglasses (I'm told this is a need when snow's around)I've been partially snow blind. Imagine being hungover while in a very dangerous locale. Not a good mix.
>>2 sleeping bags (one is warmer, but takes up much more space in my pack)Well shit. You're sleeping on the mountain? Tent? Roll mat? Shelter? Cabin? You need a bag rated to at least -2 degrees, but that's in dry and windless conditions. A warmer bag is needed if you want to live through the night while outdoors.
>>Swiss Army kniveNot really needed, but might come in handy.
I think you need to do more research.