Advice needed. Please help!

My partner and I have been ttc baby number one for about 6months. Last month we got our first BFP, we took another 2 precautionary tests which both came back positive. A few days later I started to bleed and when I went to the hospital they tested me and it came back negative. The doctor told us id more than likely experienced a chemical pregnancy and that this was my period(it lasted around 3 days-which is quite short for me) We were upset and obviously disheartened. Anyway 3 days ago I was expecting my period to arrive especially as I've been cramping for a few days now but so far there is no sign. Last night I took a test and got a faint but definitely there positive. I dismissed it as dont want to get my hopes up again unnecessarily but I can't get it out of my head. I have since taken 2 more tests today which have both come back positive. I am still cramping (feel like I could come on any moment)and reluctant to believe that I am pregnant. I haven't mentioned this to my other half as I don't want to get his hopes up for nothing. Has anyone experienced anything like this before? I could really do with some advice. If I am not pregnant, why do the tests keep coming back positive? Here's a pic of the latest test. What do you guys think?