Problem 1

C₅H₁₀O
Rule 2, omit O, gives C₅H₁₀
5 - 10/2 + 1 = 1 degree of unsaturation.
Look for 1 pi bond or aliphatic ring.

The band at 1716 indicates a carbonyl, probably a ketone. The bands at 3000-2850 indicate C-H alkane stretches.

This is the structure. See if you can assign the peaks on your own.