Just a reminder of the situation with third picks. I believe they alternate between BBC and BT, though in what fashion is not clear. Here are the first four picks made in the last two seasons with my guess as to who had third pick
2014-15
R3 - BT? (Wimbledon v Liverpool (BBC), Accrington Stanley or Yeovil v Man Utd (BT), Everton v West Ham (BT), Arsenal v Hull (BBC))
R4 - BT (Cambridge Utd v Man Utd (BBC), Brighton v Arsenal (BT), Liverpool v Bolton (BT), Doncaster or Bristol City v Everton or West Ham (BBC))
R5 - BBC? (PNE or Sheffield Utd v Cambridge Utd or Man Utd (BBC), Arsenal v Middlesbrough (BT), Aston Villa v Leicester (BBC), Crystal Palace v Liverpool or Bolton (BT))
R6 - BBC (Man Utd v Arsenal (BBC), Liverpool v Blackburn (BT), Aston Villa v West Brom (BBC), Bradford City v Reading (BBC))
2015-16
R3 - BBC (Exeter v Liverpool (BBC), Man Utd v Sheffield United (BT), Spurs v Leicester (BBC), Chelsea v Leyton Orient or Scunthorpe (BT))
R4 - BBC? (Derby v Man Utd (BBC), Exeter or Liverpool v West Ham (BT), Northampton Town or MK Dons v Chelsea (BBC), Colchester v Spurs or Leicester (BT))
R5 - BT? (Chelsea v Man City (BBC), Shrewsbury v Man Utd (BT), Blackburn Rovers v West Ham or Liverpool (BT), Bournemouth v Everton (BBC))
R6 - BT (Everton v Chelsea (BBC), Man Utd v West Ham (BT), Arsenal v Watford (BT), Reading v Crystal Palace (BBC))
It looks as though one gets R3 and R4 and the other gets R5 and R6 with these swapping each season. So this season, BT should have third pick in R3 and R4 this season. This makes their life easier as they can pick whichever of PNE v Arsenal or West Ham v Man City that the BBC don't pick, and still get Man Utd or Liverpool (my money would be on the former).