As to the ME/BF question, the 110 (along with the 108 and 109 etc) should be referred to as Bf110. This was because they were designed when the company was named Bayerische Flugzeugwreke AG (Bavarian Aircraft Factory). Those designed after the company became Messerschmitt AG are officially designated with the Me prefix. In reality, the 109 and 110 etc were frequently referred to as Me109, Me110 etc, both by the Allies and by the Germans themselves.
You may find this worth a read…. 🙂
http://109lair.hobbyvista.com/index1024.htm