Can I run my own email sequence to my leads?

Yes, just make sure you are sending them your designated links coded to you, You can find these links in your back office by logging in and by going to your Affiliate Links Tab under the 'Affiliate Center' on the left hand side. 

Find the Email Integrations section, insert your Aweber/GetResponse List ID into the appropriate box and click the green Save Account Settings button at the bottom of the page.

This will enable all your leads to populate into the list you entered.