Flying IAD-LHR arriving at 10.25 at end of March. Flight is already booked. Need to connect to BHD for family event but will be on a separate PNR. Flight to BHD is 12.50 with next at 16.00. 2.25 hours is surely enough time? Need some reassurance but the way I see it is I check in at IAD for LHR-BHD and if I have to collect my luggage I still should have enough time. If they check me through (which they have done in similar situation on PHI-LHR and then LHR-BRU), then should be no problem. Thoughts?

The alternate is EI but it only goes at 15.40 so may as well go BA at 16 if i don't go for earlier one