Roosters, of course, can crow at any time, but are most famous for signaling the beginning of a new day. This is perfectly consistent with Mark's account. The previous evening, Jesus and the disciples traveled from the upper room to the Mount of Olives and then to Gethsemane. The disciples fell asleep, and Jesus had to wake them in order to meet the arresting mob. I would like to end with a word of warning.
Skeptics are notorious for raising a dozen objections in as many minutes.
As you can see, it takes a lot more time and work to answer an objection than it does to raise it. And yet, if we do not answer every objection, no matter how frivolous it may be, the skeptic claims victory. We should recognize that most skeptics have no interest in making sense out of Scripture. The powers of comprehension and interpretation they would bring to an average newspaper are left behind in the case of the Bible. Perhaps this uneven treatment should not be surprising.