Does Beacon of Hope cast during the last minute of a short rest maximize the healing received from rolling hit dice?

The spell Beacon of Hope lasts for one minute and states:

For the duration, each target … regains the maximum number of hit points possible from any healing.

If a party is taking a short rest, can the party Cleric cast this spell during the last minute of the rest to ensure that the party regains the maximum possible hit points on their hit dice rolls?

If casting the spell interrupts the rest for the Cleric, can they still use Beacon of Hope to maximize the hit dice healing for the rest of the party?

What are the repercussions of being able to finish a short rest in only 10 minutes instead of taking 1 hour?

Currently we are playing a horror adventure in D&D 5e. Due to circumstances (beings locked in a haunted house, rooms changing just when we close the doors, etc.), a 1-hour rest is hardly possible.

Our DM ruled that short rests can be as short as 10 minutes. The obvious result is that we can take it. What are other changes that we, both players and DM, should be aware of?

If it matters, party consists of Lore Bard, Vengeance Paladin, Chaos Sorcerer and Divination Wizard, all level 3.

Posting Short Cuts to make my Posts look more professional? [migrated]

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