Hi, Thomas...
In answer to your comments, the specific code A1+CP, would have been used on a particular aircraft, but if for whatever reason, that aircraft was no longer available and the unit received a replacement, the replacement would likely have had the same code applied, hence the reason why aircraft with identical codes can be lost, for example, in 1940 during the Battle of Britain, but a similarly-coded machine could be recorded as lost over the Balkans in 1941, the latter perhaps being the replacement for the original loss, or indeed, the replacement for the original replacement, circumstances dictating! It can also explain why an He111 is recorded with the code, and later also a Ju88. In the interim period, the unit may also have changed aircraft types.
I can't really say anything else about the unit emblem, other than I've always known this particular representation as being the II.Gruppe emblem.
As for codes in general, it took me years to work them out...

. However, if you go to this site
www.luftarchiv.de and follow the headings on the left side menu:
Luftfahrtindustrie, Kennzeichen, Motorflugzeuge and finally select
1939-45, you will find all codings explained to you, in colour, for all front-line combat types. It should be noted that most Geschwadern generally had three Gruppen, each again with three Staffeln. However, ocassionally, some units had four Staffeln per Gruppe, for example, Transportgeschwadern and some Jagdgeschwadern late in the war, and thus the general colour codings were slightly different and Staffeln were 'shunted' from one Gruppe into another, but this is all detailed for you at the above-mentioned site. Despite it being in German, the codings section should be easy enough for you to follow.
As ever, though, never assume anything with the Luftwaffe. Its ability to confuse without warning is legendary, but essentially this is what makes it a very interesting subject. Hope you find the above site a useful pointer to what
should, generally, be the case.
Regards...
Paul