Migrating from phplist to Newsletters + WordPress

I moved my blog to wordpress. I also have opencart internet shop.
Currently I use phplist for newsletters, but in can not be fully integrated neither into WP, nor OC.

I consider migration to this plugin, but don’t know if it supports the phplist features I used to use.
among them are:
1. different maillists and possibility to send same message to several maillists
2. never sending same message to same addressee even he is in different maillists
3. Counting how many messages were send to and addressee
4. Bounce messages handling. Email address for bounces can be separate, phplist can retrieve bounces from that mailbox, count bounces for each addressee and, if threshold is reached, block that user forever
5. Blacklisting for users who opted to unsubsribe
6. templates for emails with merging user data (name, company, etc) for personalised emails
7. And most important – sending emails by batches, each batch in a period. I have strict restrictions in my hosting – only 7 emails can be send per minute.
8. Cron command for batch sending
9. import emails from csv file, with linked fields (Name, Company, Last name).

Does these plugin have all that features?
If not – can anybody advise free plugin that fits my needs?

Thank you.