Hi,
I know this post is pretty old but I have the exact same problem as I installed ammps on Mint.The log in my xterm is really very similar.
In the ampps console I only see MySql as Running.
Both Apache and PHP 5.6 are Stopped.
In the settings, Apache and mYSql are ticked to start as services.
And in the Softaculous console I only see 3 elements : Apache, PHP 5.6 and MySql. Compared to what is on the installation documentation page, I do not get a match.
I'm going to reboot, just in case but I do not think this ill change anything as I've already rebooted once.
Please advise and thanks in advance for your help !