Firstly akeeba backup is a first class product with which I have had very few issues, all of which were down to me.
Not really a bug report but a couple of suggestions.
In the restoration script there is a panel for Super User credentials with the opportunity to amend the email for the superuser -- that doesn't work, it doesn't change the super user email -- maybe that is deliberate.
Other small issue which has caught me a couple of times, you do a check for special characters in database passwords would it be possible also to check the prefix for characters which screw up the PHP, "-" for instance. Took me a while top figure that out.
Regards