Hi,
Thank you very much for the reports.
1. I think we can fix this for the upcoming release by moving the attribute to a “data-” attribute, that should resolve it then. I have moved this issue to the issue tracker.
2. This does not seem to be related to our plugin though. The element ID core-block-supports-inline-css is not part of Ajax Search Pro, it is a generic block style coming from WordPress core, very likely Gutenberg block editor styles.