Hi there,
Thanks for the question, Jo here from the Moz help team, I'll do my best to help.
SERP Ranking Re-freshness ( For how often it would update )
With a Moz Pro Campaign you'll see fresh updates every week. This includes ranking data, page optimization reports, crawl data (with the option to manually recrawl with medium plans or above)
Mobile SERP Ranking ( Whether the tool shows the SERP Rankings on Mobiles )
Yes, you can track mobile rankings in your Moz Pro Campaign https://moz.com/help/moz-pro/rankings/overview
Backlinks ( Does Backlinks Data has the Historical Index )
We'll show you historical metrics over time like DA and Linking root domains, to collect granula link data over time you can export your links to csv https://moz.com/help/moz-pro/links/overview
**Alerts ( The important thing i need was to get instant alerts on Rankings, Backlinks Toxic Score, so how often i would receive those alerts **
You can set up custom reports to send either weekly or monthly to your specifications.
As you're new to the software and levelling up with the tool I highly recommend out training and onboarding resources
I've got a few for you here
https://academy.moz.com/how-to-use-moz
https://moz.com/walkthrough
Best of luck!
Cheers!
Jo