If one answers an inquiry about what day of the omer it is and does not count again that day, may he count the next day with a beracha? If yes, an onen (before funeral of close relative, who does not perform mitzvot) for a full day of sefira should be able to simulate such a statement and be allowed to continue with a beracha the next day.
The days between Passover and Shavuot are marked by pain; twenty-four thousand of Rabbi Akiva’s students died therein. Consequently, it is customary to observe mourning practices during this period - weddings, haircuts, and dancing are all forbidden.