Hmm. You could add people with editing permissions to the base so they could review entries and be notified when they are added to a ‘record’ (or an entry) for review. But if you wanted to limit their interactions with the data things get tricky. At this time Airtable doesn’t have granular permissions for specific views/tables/etc. so if you give editor permissions to someone they can edit anything.
You could create a ‘view’ of the entries table that they could work in which would show the items specific to what they need to review, but they could also see and edit other areas of the base (but changes are tracked in Airtable).
Airtable has some functionality to email records, but not whole chunks of records per say (that I know of). If you used Zapier you may be able to integrate it with Airtable to send email notifications but that’s where my knowledge tapers off, sorry!
Also, no, there is no way I know of to get a new form with the ‘to-review’ entries. They would have to review them in Airtable.