Clock does not start

[CoachJW]

Team A is losing by three points with 0:08 left in the game. A1 is shooting two free throws and misses the first. He shoots the second free throw and misses, but it is rebounded by A2 who shoots and makes a layup. B1 picks up the ball and takes it out of bounds. As he is looking for a player to pass the ball in to, the whistle blows. The official has realized that the clock never started. It still reads 0:08. The officials go over to the table and tell them to put 0:06 on the clock, then they hand the ball to B1 for a throw-in. The clock will be started, of course, when B1's inbound pass is caught inbounds.

I will admit bias on this one because I was the coach of Team B. We had an opportunity to use as much as four seconds just waiting to throw the ball inbounds, plus another second or two after the ball went through the hoop but was not yet at our disposal (thus the 5-second count would not have started yet). It was a crazy overtime game in a loud gym, and yelling my argument across the court was not going to do any good. But later I was thinking of two questions:

1) Wouldn't it make sense for the officials to give B1 the ball for the throw-in after the re-setting of the clock and start the clock while he was still out of bounds? This would seem to be the most accurate way to correct the table's error. I realize that this is never going to happen, but it crossed my mind. The way in which the situation was administered as described above gave great benefit to the home (trailing team)

2) When the officials met with the table to set the clock from :08 to :06, are they allowed to use their 5-count plus a reasonable guess of other timeas an official measurement of the time that should have elapsed? For example, if the official had reached a count of two when the whistle was blown, could he have said, "well, I got to two on my count, and there was at least one second from the time the rebounder touched it until it went through the net and B1 took it out of bounds.?"