In your question, you are mentioning a resistive element "re".
Do you think that re=Re in your task description? This would be wrong.
The quantity "re" is a BJT parameter. Unfortunately, some authors use such a symbol for the inverse transconductance (re=1/gm).
As we can see, this can lead to severe misunderstandings because, in fact, it is NOT a resistive quantity. It is based on gm - and as such it is 4-pole-parameter (but it carries the unit "Ohm").
EDIT: With a given value for gm=1/re the emitter current is known with Ie=26mV/re. This is a contradiction to the given value of the current source. All these considerations apply to the DC bias point only and have nothing to do with a signal input voltage Vid, which is applied externally,