yes
no, either you didn't do the experiment, or you are a very small child and this is not getting through to you. the ice bergs did not fall from the sky like they did when you put them in the cup. you have to put the ice in then mark the waterline, once the ice melts you will see the water has neither risen or receded. the same amount of water has always existed since the creation of the earth, and the ice burgs supposedly did not APPEAR (because of 'global warming') so they've always been there. even if they did melt, the water level would not change because the ice is already in the water and does not multiply when it melts.
now, you think they are randomly melting because of the green house gasses, which actually protect us from the heat and regulate the temperature. the sources that release carbon dioxide also emit oxygen molecules that protect us from the suns radiation (which would kill every living thing instantly).
satellite studies have shown that earth's temperature has gone nowhere.