Sorry
but good your answer is partially correct!
1) Bromine reacts more readily with cyclohexene than benzene. This is because cyclohexene contains pie-localised electrons sited above and below the plane of the carbon atom. The pi bond is rich in electron density, once the bromine appraches the double bond (C=C) in cyclohexene an electrophilic addition mechanism takes place, as the bromine molecule approaces the pie electron (bond) repels (in double sited above and below the carbon ring) the bromine molecule induces a dipole, forming Br deta+ and bromine deta -. The bromine that is more negative is because both of the electrons move to the bromine which makes it negatively charged and the type of bond breaking is heterolytic fission, the postively deta charged bromine is bonded to the carbon atom, the negatively charged bromine atom is attracted to the postively charged carbocation forming a new covalent bond. This shows that the cyclohexene has a higher (pie) electron density and has pie localised electron that can depolorise the bromine molecule.
When benzene reacts with bromine no reaction takes place under normal conditions this is because benzene has pie delocolased electrons, is a stable molecule, has insufficnet pie electron density and less/no depolarisation of bromine molecule and hence, a halogen carrier is needed for reaction to take place.