$a,b,c.$

$C_6{H}_{8}O$ lone pairs, $2$ lone pairs on each $O$

d$.$ Each $C$ that is part of a $C=O$ is $s{p}^2$ hybridized, so there are three $s{p}^{2}C\text{'}s.$

e$.$ Orbitals:

$[1]C=O,Cs{p}^2-Os{p}^2$ and $Cp-$Opp

$[2]$ C$-$C$,Csp{p}^3-Cs{p}^2$

$[3]O-H,Os{p}^3-H1s$

$[4]$ C$-$O$,$ Csp ${?}^3-Os{p}^3$