I have a MAD connection question. If this is not the right place for it please do say.

We are arriving with checked baggage (OWE; J class) on AA at 0605. We are leaving for LHR on an IB 3160 at 0905. Separate PNRs. UK citizens. Booked as BA code share in case that makes a difference.

Two questions for anyone who is more familiar with MAD than I:

1. I suppose there is more chance of a flying pig than to get AA to through check the bags to London

2. Do people think that a three hour connection is good enough to enter Schengen; collect bags; check in; and go through security and outgoing passport control? Or am I cutting it too fine (we are fit and understand airports...)?

Thank you all very much for any thoughts.