Yes but not too long
For no more than 8 hours.
Yes, but pudding (and jell-o) do not freeze well. Don't freeze it for too long, as ice crystals will begin to form in the pudding.
Chocolate cake will be good for approximately one week when refrigerated.
If it is truly being deeply frozen, it can last for years.
Yes you can freeze cake mixes but when it gets defrosted and baked, it won't have half the flavor or moistness. You can also store an unbaked cake mix in the freezer. And, you can freeze a baked cake that was made with a cake mix.
Yes.
Yes.
No but you can use it to make frozen yogurt cake.
You can freeze a cake twice, but it won't be as good. You should freeze it no mroe than that, though. A cake should be eaten after it is baked. Freezing it once is alright, twice can manage, but a lot of the flavo and texture will be lost.
Of course. Glass won't crack!
Yes, most types of cake can be frozen.