Due to the extraneous text at the bottom of your question I am answering each question with the subject of the question prepended to the answer in parentheses. So in answer to your questions:
1. (tools available) Moz Analytics, Followerwonk, Open Site Explorer, Fresh Web Explorer, Rank Tracker, Keyword Analysis (including keyword difficulty), On-Page Grader.
2. (crawl entire site) Yes, add your site as a campaign and Moz will crawl your site and inform you of any problems and factors affecting your rank. It will also track changes over time without manual intervention.
3. (10 campaigns) Yes, each domain is a separate campaign.
4. (subdomains) This is configurable. You can set in campaign settings whether to track only this subdomain or all subdomains or even just a specific sub-folder.
5. (keywords) The number of keywords relates to how many keywords can be tracked in your account as a whole across all of your campaigns. 750 over 10 campaigns gives you 75 keywords per campaign. The rank of your site's pages is tracked for each keyword, pages are graded for their ranking ability against specific keywords and you can check the rank of any page for any keyword you are tracking.
6. (social accounts) You can track the performance of your social media accounts by connecting them with Moz Analytics. You can also track your competitors accounts to measure your performance against competitors in some aspects such as the level of interaction (comments and shares).
7. (branded reports) Branded reports allow you to export reports on your data with your own branding, a useful feature for agencies and consultants.
I am a Moz Pro subscriber and highly recommend it, Moz Analytics and the various other tools are extremely useful.