The Rebbe encouraged the singing of Yechi HaMelech in public and in the presence of cameras, as explained in answer 2. These actions speak louder than words!
But the Rebbe did more than tell us to publicize, The Rebbe himself personally publicized the identity of Moshiach that he himself is Moshiach. The farbrengens of the year 5751 and 5752 were edited by the Rebbe himself (unlike all farbrengens prior to 5748, which is when the Rebbe began editing them). The Rebbe edited the Sichos specifically to be publicized in the media Kfar Chabad magazine and the Algemeiner Journal as stated in the preface of Sefer HaSichos 5751, vol. 23 and Sefer HaSichos 5752, vol. 1. It is in these Sichos that the Rebbe stated explicitly that he is Moshiach either by saying l) the Nasi HaDor is the Moshiach of the generation, 2) the Rebbe, my father-in-law, Nasi HaDor, is Moshiach of this generation, and 3) that the name of Moshiach is Menachem Mendel.
In addition, there are many other indirect statements, such as “770 is gematria ‘the House of Moshiach’”, and similar statements.
The following is a partial list of references where these statements of the Rebbe were publicized - Sefer HaSichos 5751: p. 497, p. 596. And Sefer HaSichos 5752: p. 95, p. 111, p. 152, p. 243, p. 341, p. 365, p. 373, p. 376, p. 400, p. 470, p. 472, p. 473.
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