Deco Brothers Wall Key Holder and Mail Organizer, Bronze

Could someone tell how far apart the screws are? I have a key rack now that needs replacing, trying to find one that will fit the anchors.

Does anyone ever use the little 4 hooks? Is it practical to have anything on them?

Is it strong enough to hold two bottles of cologne? My husband puts his cologne on, on his way out the door.

Can this be attached with nails or push pins? Thanks!