sensory sensitivity can take many forms; also, it's not purely being *more* sensitive, more like a different level of sensitivity.
for example; i really hate having light touches (mainly people walking past you and accidentally scraping their hands against yours) but i love and even crave to be cuddled nearly every time; especially when i've had some severe sensory input, like those soft touches ironically...
for the emotional sensititivy; it is about the same story; not litterally a higher level, but a different experience.
i for one am quite easy to put down; depressions and sadness are quick to affect me and i often join a group in a sadness setting, for whatever reason.
however; anger and agression are nearly alien concepts to me. i get annoyed as a highest level of emotion; untill there is a 'real' danger, where i show defencive agression, but the NT concept of agression is very hard to understand...