Chabad Chassidim do NOT take haircuts on any day of sefira, except erev Shavuos (and erev Shabbos which erev Shavuous is a Shabbos). This is based on the Arizal, since based on kabbalah, the days of sefiras haomer are likened to Chol Hamoed and are days of din. [Don’t ask; it’s a kabbalistic thing.] There are different customs regarding which days are the correct days, so if you want to act in a way that will satisfy all opinions, then you keep the whole sefira.
You may listen to music Chol Hamoed Pesach.
Women technically don’t have to count but many do (according to Sephardic and kabbalistic custom, women should not count).
Switching sefiras is a complicated question and should only be done in a case of dire need.