Few situational things:
Early in tournament (but you didn’t state what type of tourney). Freeroll / $5+1 9man SnG / $10,000 WSOP main event. Etc. Position is key in NL hold'em and you’ve given a general position. Well i dont even know where you are in this hand... You've either flat called the 20, or called the 40, otherwise you wouldnt be able to re-raise all in after the blinds call the 80. (i say again position is VERY important).
Generally your play is a nono. But in freerolls and very cheap tournaments it maybe a little bit acceptable as you will get a lot of donkey’s that will go all in first hand with any 2, AK down to A - rag , and any 2 paint. Having said that, in these type of tournaments you will often get more than one All-In caller, and your KK vs 3-5 people isn’t a huge favourite. So to me still a no
In more serious tournaments, id say No for sure... because anyone who calls the 1500 raise, on a pot that contains just 320-400 is either a.) a donkey (and you get lucky once or twice) or b.) has you beat with AA.
So to analyse, you have a min raise (could be sign of strength), another min raise again (could be strength - but very odd play). At some point it comes back to you with KK, Personally I would 4-bet (1st bet is the Big Blind, 2nd is raise to 40, 3rd is re-raise to 80. So a 4th bet should signify very strong holdings.) The amount 2.5-5x the current amount. Usually 2.5-4x is enough. A raise like that says your serious and your willing to commit large chunk of your stack. Also gives you enough room if you get a caller and the flop comes an Ace and you give him credit for it, you can fold and your still deep enough to grind it back. If someone 5-bets you all in. You have a decision to make. GL