I have had something similar happen to me a few years ago. Plus have experience caring for people who have had ectopic pregnancies. Also when its happened to you also you tend to take more interest and care for others.

So you still have your left tube right? You may find that in hospital they will only confirm your pregnant if your BHCG is above 25 when in actual fact if your HCG is 5 or above you can usually be considered pregnant so perhaps your HCG is very low but high enough to get a positive result on a HPT.

The wall between your uterus is not that uncommon and does not mean you can get pregnant when your already pregnant. Due to the hormones that are produced once your baby implants regardless of weather thats in the tube or uterus will stop you ovulating again. Its the same if you m/c or have an ectopic you wont ovulate again until your HCG is below 5.

When you have had multiple ectopic pregnancies there is usually a reason why such as endometriosis or a pelvic infection. This means every pregnancy you have your at an increased risk of another ectopic occuring. As you have now had 2 and 1 in your remaining tube I would definately want it looked at and treated if possible before ttc again. As you have had a recent ectopic then there is a good chance your remaining tube is not completely clear which means its partially blocked for the next time you get pregnant and much more likely that your embie wont be able to get through and you will end up with another ectopic. Im not trying to scare you just tell you how important I think it is to have your tube flushed and or have a course of strong antibiotics. This will give you the best chance of conceiving again and having a successful outcome next time.