The stick that the conductor waves around is called a baton.

Romualdo Figueiredo has written:

'Alguma coisa sobre o theatro portuguez' -- subject(s): Theater, Portugal, History

Obter um pista. Obter a prova de alguma coisa que se queira provar.

Obter uma fonte de referência para se chegar à conclusão de alguma suspeita.

To obtain the proof of something that you want to prove.

To obtain a source of reference to reach to a conclusion of a suspicious matter.

A coisa. (but if you mean "that thing" is "aquela coisa". And if it was "another thing", then is "outra coisa").

Depends on the situation. Formal would be "Posso ajuda-la?" (if the person you're approaching is a woman), "Posso ajuda-lo?" (if directed to a man) Another way would be "Posso ajudar em alguma coisa?" - Can I help with anything?