(a), No, heat is not transferred as the flask is insulated from the surroundings `:. dQ=0`
(b) Yes, work is done in shaking (against the viscous), i.e., `dW` is negative.
(c ) Yes, internal energy of tea increases. As `dU=dQ-dW=0-dW`, and `dW` is negative, therefore, `dU` is positive.
(d) Yes, temperature if tea rises because of increase in internal energy.