Is there a limit on how much I can send?
Yes, and you can see the number.
There is an outbound limit and your administrator can see it in their console, next to how much has been used.
It exists because everyone sending from a shared pool of addresses shares its reputation: one compromised account sending bulk mail would hurt delivery for every company alongside it.
What we do not do is advertise "unlimited" and let you discover a ceiling after you have moved in. If you need more, the number is a number and it can be changed.
Importing mail is never limited by it.