EMail App with OWA

I have just signed up for Hubspot via the free trail – I am looking to buy if the service works for me.

I thought Hubspot would allow me to manage one-on-one emails;

1. Send emails from Outlook Web App and have them logge din HubSpot austomatically
2. Receive emails to Outlook Web App and have them logge din HubSpot austomatically
3. Receive reply emails to Outlook Web App and have them logge din HubSpot austomatically
4. Notifiy me when emails are opened

I just cannot gety this to work considtently when sending emails from OWA or from HubSpot itself.

Any advice?