3rd question: There is a website called virus total which scans files with lots of antivirus engines. They have an api, so you can make this part of your build process.
also, some similar questions might help:
Antivirus False positive in my executable
Virus in Delphi 7
https://stackoverflow.com/questions/3534050/my-software-is-not-a-virus-what-should-i-do (Snapshot of deleted question)
Accidentally created a virus?