Any good translator, free or paid, online or off, has two legs and ten fingers. Those cyber-translation sites MANGLE Latin! For what you want at the moment, a dictionary with an English-to-Latin section, along with a knowledge of the accusative case, will work almost as well.
That said, here are your answers:
All these verbs are singular. If you plan to say these sentences to more than one person at a time, insert "it" before the final e of each verb--carpite, tacite.
Majored in Latin