All right, this makes more sense now :)
Also, important note: Kickstart is the backup archive extraction tool. It DOES NOT restore your site. The restoration script (Akeeba Backup Restoration Script - BRS) is included in the backup archive. Based on your description you don't have a problem with Kickstart, you have a problem with the restoration script. This is a huge difference. If I were to start looking why Kickstart has a problem while you are trying to solve a problem with BRS we'd never figure anything out.
I need to know which version of Akeeba Backup you are using to take this backup. Also tell me if you have access to the original site, or just this backup.
The reason I am asking is that I'd seen a similar problem with 10.0.0 in some cases, but it's been fixed since. If you can upgrade and take a new backup it should work fine. If you can't upgrade, I can send you the installer separately.
If you are on a newer version and have this issue, there are still a few things we can try, like trying to disable PHP verbose notices and warnings in case that's breaking the restoration.
Nicholas K. Dionysopoulos
Lead Developer and Director
🇬🇷Greek: native 🇬🇧English: excellent 🇫🇷French: basic • 🕐 My time zone is Europe / Athens
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