I booked a flight to the USA via an online company, but the company has run my first and both middle names together (instead of Name Name Name, it's Namenamename) on one of the airline's websites and done the same thing but added Mr at the end on the second one (NamenamenameMr).

One part of the flight is through British Airways, one is with Iberia. I can't contact British Airways yet as they don't seem to have e-mail or respond to social media, but I contacted Iberia via their Facebook site and they said it WAS likely to be a problem, yet the agent said the booking wouldn't allow spaces and it would be fine. Are Iberia wrong even though they're the ones operating part of the flight? I'm so worried