B737 TAXIING FOR DEP AT BUR IS CLRED VIA RWY AND THEN QUESTIONED BY ATC.

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PUSHED BACK IN BUR WITH WINDS 33 DEGS AT 5 KTS; RWYS 33/8/15 IN USE. COMPLETED CHKLIST AND CALLED FOR TAXI. WAITED FOR COMPANY JET IN FRONT OF US TO TAXI TO RWY 33. CLRED TO TAXI TO RWY 15 AND HOLD SHORT OF RWY 8. WE LANDED ON RWY 33; WIND VELOCITY WAS VARYING AND WE CONCURRED TO REQUEST RWY 33. GND CLRED US TO TAXI TO RWY 33 AND HOLD AT SECOND SET OF HOLD BARS. ANOTHER CARRIER B737 WAS LNDG AND GND INSTRUCTED US TO HOLD FOR THEM TO EXIT RWY 8; THEN HOLD AT SECOND SET OF HOLD BARS. THE OTHER CARRIER PULLED FORWARD; TURNED TO ABOUT 180 DEGS ON TAXI LINE BLOCKING TXWY TO RWY 33 AND BLOCKING THE HOLD BAR. THE OTHER CARRIER DID NOT HAVE A GATE AND WAS HOLDING AT THIS POS. WE WERE INSTRUCTED TO CONTACT TWR. COMPANY JET LANDED ON RWY 8 AND COMPANY WAS CLRED TO TAKE OFF ON RWY 33. THE OTHER CARRIER HAD US BLOCKED AND WAS STILL WAITING FOR A GATE. AN ACFT WAS VISIBLE LINED UP ON RWY 8 AND APPEARED TO BE SEVERAL MI FROM THE ARPT. TWR CLRED US TO TAXI BEHIND THE OTHER CARRIER AND TAXI TO RWY 33 AND BACK TAXI INTO POS AND HOLD. THE OTHER CARRIER WAS NOT MOVING AND WE HEARD NO INSTRUCTIONS FOR THEM. WE CLRED FOR TFC ON RWY 8/26 AND BEGAN A TURN BEHIND THE OTHER CARRIER TO RWY 33. AS WE STARTED THE TURN; THE TWR CTLR TOLD US TO NOT TAXI ONTO RWY 8/26 AND TO CLR THE RWY. WE HAD SLIGHTLY PASSED OVER THE RWY EDGE LINE. THE OTHER CARRIER BEGAN TO MOVE FORWARD AND WE PULLED BACK ONTO THE YELLOW TAXI LINE AND HELD SHORT OF RWY 33. THE ACFT THAT WAS OBSERVED EARLIER LANDED ON RWY 8 AND THE TFC CONFLICT OCCURRED. WHEN TOLD TO CLR THE RWY; WE DID SO AND I STATED TO THE TWR CTLR WE HAD BEEN CLRED TO TAXI TO RWY 33 BEHIND THE OTHER CARRIER. WE WERE CLRED TO BACK TAXI INTO POS AND HOLD ON RWY 33. WE WERE CLRED FOR TKOF. ON THE CHANGE TO DEP CALL; THE TWR CTLR APOLOGIZED FOR THE CONFUSION THAT HAD BEEN CAUSED AND WE ALSO APOLOGIZED.