Warning :: LONG Response

First off, death is never a bad thing in dreams. The symbolic meaning of death is transition. In the first dream, there is a large image of ice and isolation. (See the connection already? Ice/Ice-o-lation) This reflects a feeling of loneliness and being shunned. The whole family is stuck on this island, which tells me that perhaps you connect your identity to your family unit. But there is a problem - your father is the antagonist, crushing you with some sort of driving equipment. I would dare to ask how your father is affecting your mood? If I had to make a guess I would wager that either you see your dad as smothering/overbearing, or that you see your father as an obstacle toward your family and thus yourself being able to live freely. This would coincide with being overbearing.

The second dream begins wit ha thunderstorm, and darkness. Darkness can refer to some part of yourself that you dislike (Jung calls this the shadow self). The storm may be a building emotion (I say emotion because storms and water are typically symbolic of emotions and emotional turmoil.) Because the hut is closed and you are outside it, it can connect with the antagonist as showing that you aren't consciously aware of what is causing your transition. There is a second interpretation for this, as well. Buildings can often be symbols for the dreamer, either their physical body or simply their own emotional/spiritual/etc. existence. That the antagonist came out of the hut shows that the cause of this change is something within yourself. The man that kills you is seen as a "bad guy". Did you have the same image with your dad, as being a bad guy? The way you died in the second dream shows a separation between your old self and your new self, both in an actuality and as something you are growing consciously aware of.

The third dream begins to grow vague in its imagery, save for this oppression over you. The other children could be parts of you that are being taken over, parts that have been shown to be childish or parts that were budding to fruition but ended up giving way to this oppression. But your dreaming/subconscious self has gained enough awareness of the oppressive side of yourself (that shadow self defined by Jung again) that you were able to avoid the transition.

Presuming that these dreams are connected, there are two things I have to ask. First, how do you feel about your father? Second, what did the attacker in the second dream look like? Typically other characters in dreams find a connection between people we know (either single individuals or a combined image between two or more people) and things we see in yourself. Basically, your father in your dream would represent the things you see in your dad as well as in yourself. Characters that aren't people you know are related to traits you see in yourself and may take on the looks of several people that act and think similarly in your life. This has a LOT to do with something you dislike about yourself taking over your personality and quite possibly your life. I'd guess this negative aspect of you is something you see causing the isolation and depression.