1. He dropped this while running away. 2. Is there anyone who has animosity towards you?(Animosity is a good word, but it's usually reserved for formal speaking or writing, conveying a very strong anger/hostility. More typical in speaking would be: Is anyone mad at you?) 3. Use the second one like so: Thanks for the support you gave me during the match. The first one feels very awkward with the passive voice combined with a direct thank you. 4. The context is a little vague so I can't say for certain, but it sounds correct depending on the scenario. Hope I helped :D