Both of these are possible via actions. However, there's a possibility that you don't see the options due to the account restrictions. Check out the support pages for advanced Quotas.

Ahmed - can you elaborate a bit more please?
In my situation, I am able to establish the quota conditions just fine, but I do not see the action items I need. My problem seems to have more to do with the quota action options.
I do not see any more quota action options within Advanced Quota when reading the support pages than are already available to me which are:

• End current survey


• Prevent all new surveys


• Do not display a question/block


• Trigger web service


• Non (skip logic/survey flow)

• Send report to respondents


• Trigger next sequential survey

Since, I'm not sure where the report is coming from, I can't comment on the specifics, but a general workflow of using quotas as a condition would be something like this:
You could then trigger whatever task you like, email or even a survey distribution.
The distribution would need some careful planning and a few more conditions, as you wouldn't want multiple emails for the same survey being sent out.

I had mentioned advanced quotas earlier, as you could use those to create logic flows with embedded data and branching, to achieve the desired results.
I would also recommend being a little careful with quotas, as they take time to update.

The report I want to trigger is a standard, one page statistics table from the reports tab.
Could you please provide a screen shot showing the survey distribution task option?
Thanks

https://www.qualtrics.com/support/survey-platform/actions-module/xm-directory-task/