Hello,
Take our apologies for the delay in answering.
1) We don’t have the option to improve this https://prnt.sc/vetf0s Some plugins could add the inline styles or scripts.
2) You may try to optimize theme images if you get bad results with them but as a rule, we use the optimized images.
3) It’s not connected to any cache plugin, these options are separate options. We would recommend using them in the following way http://prntscr.com/vgtnwv
Regards