Search question: dot (period) and partials
I don't think it will be possible using the native Craft search engine as part of the search keyword normalization process involves removing all punctuation from the keywords: https://github.com/craftcms/cms/blob/develop/src/helpers/Search.php#L62

It might be possible on front-end searching using something like Algolia, though:
 https://plugins.craftcms.com/algolia