Hello!
How can you identify which bottle is the mixture?
If the components are completely unknown, I'd probably opt for physical tests. Read about colligative properties. This should indicate which bottle is the mixture fairly easily, but will not give any structural information. The problem is that if you have absolutely no idea of what could be in the bottles, random scanning for functional groups with different chemical tests could take a long time (but would work of course).
What is a simple test to identify hexan-1-ol and methylpentane-1-ol? I know that the compounds have slightly different boiling point and solubility in water; however that is difficult to measure.
It probably doesn't matter, but which of the 3 isomers of methylpentan-1-ol are you referring to?
I can't think of a chemical test off the top of my head for those two, so bp may be the way to go. Maybe you could calculate the densities?