Domain Access module and XML sitemap module

First of all: hello community!

My problem:

I've got www.example.com and second.example.com.
The problem is now that I want to redirect the complete second subdomain to www.example.com/second/ and I want that the sitemap of www.example.com catches all pages of www.example.com/second/. So just one sitemap for all pages.

My questions:
1. Is that possible with the Domain Access module? Are there settings for it? Do I even have several choices?
1.1 If it's possible than what's about my sitemap? Will the sitemap of www.example.com catch the redirected pages? Would I just have one sitemap?

2. If it's not possible to do so with Domain Access module than I could configure my server to redirect which I suppose wouldn't be a problem.
2.2 If I redirect with my server the pages to www.example.com/second/, would the sitemap catch those pages? Would I just have one sitemap?

Thanks in advance for the info.