My alerts is a feature of Commnet\Simpana Monitor and is not a product that you would have unless it was specifically purchased and is for reporting\alerting across multiple comcells.
The Alerts section of Control Panel is the only place where general alerts exist and can be seen or modified.
A Job Based alert is for that job only so you will not see it in alerts.
How\where did you configure the alerts in 7.0 that you do not see in 8.0?
It may be necessary to open a support ticket so we can look at your 7.0 and 8.0 DB and see if there was something lost or not brought over during the upgrade.