Recombinant DNA Technology

Hello --

I was hoping I could get clarification on a few topics that I've been reading about under the umbrella of Recombinant DNA Technology

1. When two or more sequences join from sources that would otherwise not be capable of naturally coming together, are the produced proteins *entirely* new? That is -- are they new in nature, or are they new to the hypothetical host that they've been inserted?

1a. If they are entirely new, are they what is referred to as "synthesized proteins" ?

2. What is meant by "Chimera DNA" ?

3. Are we capable of creating formerly and naturally non-existent proteins and inserting them into DNA? Are "engineered" and/or "synthetic" DNA capable of seamless replication with normal DNA?

Thank you in advance.