Good Idea: Serving duty as a juror—as required! We have discussed this: Jury Duty: Served! and Jury Duty: Reprised. 
Bad Idea: Ignoring the Judge’s instructions while serving. Yep, discussed this too: Juror Twittering Did Not Affect Jury Verdict and Tech Interference with Juries.
Even Worse: Asking the Defendant Doctor for medical advice—during the trial!