2a. 
2b. The products are Mg(OH)2 (s) and NH3 (g). You can smell the ammonia if put your nose close to the crucible and sniff cautiously immediately after you add the water. The Mg(OH)2 is converted to MgO (s) + H2O (g) by reheating. Looks like this question was misworded, as MgO is not the immediate product when the water is added.
3. Replace "2 mol MgO / 1 mol O2" with "2 mol MgO / 2 mol Mg". Probably they want the final answer in grams.
4. 
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