Hello!
First - excuse me saying that - but being a little cooler could help you some, IMO. It's also worth noting that teaching people for free isn't good for anybody. If you offer your advice to somebody who doesn't want it then it's just wasted energy.
As for the designations - there are always mistakes and the likes, so usually the official designation has many variants, that get corrupted and we end up with multiple designations many times.
As for the fighters, it's Bf 109 and Fw 190. At lerast Wikipedia says it this way, but other books also. If you want to be so correct, please note that only the first letter is capital here, and there is a space adfter the letters.
Of course there were many people on both sides of the front who called the Bf 109 a "Messerschmitt" or Me 109. When the Fw 190 first appeared over Britain the allied flyers didn't know the name of the machine either.
As for the tank, the Wikipedia (I just love it, can't help it!) lists it as Panzerkampfwagen VI Ausf. B Tiger II (Sd.Kfz. 182). Of course no normal human being would use that name in a conversation, so the inoficial German term for it was Königstiger. Then you have the allies translating this in English. So which designation is "correct"? No designation ever is used by "everybody". With the exception of when you think "everybody is me"!
So I'd say do your research, keep on learning, and don't waste your time teaching people who don't want to learn. I hope it helps you, have a nice day
Paweł