In terms of points-per-game, we're 11th when the opposition score first. Only Stoke, Villa and West Brom of the teams below us have a better PPG record in those circumstances, so it's not horrendous, although we're one of only 4 teams (the others being Swansea, Sunderland and Crystal Palace) not to have won a game where the opposition has scored first.
Worth noting that only 5 teams have conceded first on fewer occasions (City 5, Chelsea, Arsenal, Liverpool 8, Everton 10), which suggests we start games pretty well overall.