All good scenarios and questions Tbor....yeah mistyped on purpose.
There is a Viper in the game and then there is me, Vipor.
Anyway....enuf on that rant. You were just the recipient of what has frustrated me by many who type my name wrong over and over. I luvs ya m8!
Very tough call. I think we need to step back and look at why we have boundaries. In my opinion, it is to ensure that each round does not take for ever and people cannot go all over the map. The 2 minute engage rule also helps this.
Personally, in your first scenario:
If I'm being chased.. and I go out of bounds.. ref calls a "out of bounds warning" and the pilot chasing me honors that request immediately by turning back in.. now I turn back in and I'm on his six.. advantage to me.. as I've used the boundary as a last resort. Now I kill the opponent. As a ref.. how would you call that?
I would call you out and loss of round. Whether by accident or on purpose, the other pilot avoided going out. You did not.
Second scenario ( i like that word) :
Tow Pilots are fighting.. last two pilots.. they are both out of bounds and have ignored so far a warning of "out of bounds". A final warning is issued by the Ref .. both are hot in battle and don't even really know where they are. When the final kill is made.. is it legal? Does the round need to played over again. As a Ref.. how would you call that?
First, I probably would not warn them. We all know the map limit issue by now. I would more than likely play another round as a provisional, then watch the battle between the 2 and determine damage on each, who was in persuit and given all data make a decision.
Now , just to let you know, if it is WS, they lose round, period!!

Ok ok ...I am joking.
I probably will not ref a WS match given the fact they play same time we do or not at all.
Tbar, Like you confirmed, the ref looking at map and seeing a pilot out does not mean the pilot is out. I will reiterate to both squads to stay well clear of the borders as the intention of the league is to have one big battle in the middle.
Lets hope neither of the things you brought up happen for the remainder of the league!