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

I would not worry. If your name is there, you should be fine. My name is run together occasionally as well.

Thank you. Makes me wonder why Iberia worried me about it with what they told me.

Seems to happen on many airlines....

The running names together? Though it appears to be the online agent (not part of Iberia or British Airways) that did it. But then why did Iberia say "yes" when I asked them online if it was likely to be an issue?

Also does it matter than one of the airlines has 'mr' at the end of my name (Namenamenamemr)?

No, it doesn't matter.

flyingpigeon, I would not worry about this at all. It is a common occurrence in numerous carriers that names get lumped together with no spaces in between. This does not necessarily mean that the booking agency made an error. I think that maybe Iberia was being cautious in saying that it might be a problem. Also, the salutation Mr, Ms, Mrs, etc in the end is nothing to be worried about. Even a typo of one word is nothing to be worried. The key part here is that the name match the ID. So Flying Pigeon is the same as Flyingpigeonmr, Flyngpigeon or Pigeonflying, but if you have Sleepingpigeon then you do have a serious issue in your ticket and will need to be rectified, otherwise you most likely wont be allowed to board.