Could you devise a comprehensive, multi-dimensional social media brand reputation analysis for the entity [BRAND NAME]? This evaluation should encompass an in-depth sentiment analysis, detailed tone assessment and a thorough engagement examination across all dominant social media platforms. The sentiment analysis should be capable of distinguishing positive, negative, and neutral sentiments, and should be able to detect underlying emotions such as joy, anger, surprise, sadness, and fear. The tone assessment should identify the linguistic style and emotional tenor of the content, differentiating between formal, informal, serious, humorous, sarcastic, and other tones. For the engagement analysis, please consider factors such as likes, shares, comments, followers, mentions, reach, impressions, and click-through rates. The evaluation should also integrate demographic segmentation, tracking engagement by age, gender, location, and other relevant factors. Lastly, please extract key thematic insights and present the strategic implications of these findings for the brand's social media strategy.

Can you provide recommendations for [BRAND NAME] to improve their social media reputation based on the analysis of their social media brand reputation analysis report?

Can you help me identify key influencers and communities on social media that are most relevant to [BRAND NAME], as well as provide recommendations for engaging with them?

Can you analyze the social media reputation of [BRAND NAME]'s top competitors and provide insights into their social media strategies?

Can you provide a social media crisis management plan for [BRAND NAME] that outlines key steps and strategies to address potential reputational risks on social media?