Facebook Page Vs Group - What is best to start?

I have few questions regarding Facebook, as I am interested in starting a page for daily deals:

1. Can I have categories and sub categories in Facebook Pages & Groups?
2. Should the account for creating group be my real account or can be anonymous?
3. Is there a post limit in groups if I am admin or mod?
4. Is there a chance that my group might be closed or banned by Facebook?
5. Is it better to start Facebook Page or Group? Any limits?
6. I shared before some deals and links on Groups I don't own, and have got a lot of them flagged and removed instantly by Facebook team. Will mods and admins face same issues?

Not sure if the deals will be flagged and removed, as I never have used them and personally don't know anyone who has. I would think posting them in your own private group you will be fine unless someone reports you.

That said, start a page and group and USE the page to build the group. You can invite people who like your page into your group if your group was created with that page. Then you use Facebook groups to grow your page (post in fbook groups related to your content) and as people go to your page and like it you then invite them to your group and grow your own group super fast.

I think as a mod you can post as much as you won't, but I don't know the threshold because I've never tried to post say 100 times in one day in a group.