hmmmm not sure what the lights are tying to tell you - for a test remove the cable from the splitter and connect it directly into the hub - if nothing changes that [i think] tells us the splitter is ok
logging into the hub
log into hub3 - 192.168.0.1 [or 192.168.100.1 if in modem mode] - DON'T SIGN IN, click - click router status [centre of screen] - and post the downstream and upstream figures - to see those press on the grey buttons/boxes labelled - upstream - downstream
thats really only useful if you get a connection - removing the splitter will have changed the input levels to the hub
did you try it s your first photo connecting eithe of the cables that come out of the splitter
if non of that helps you are going to need a tech to sort it - wait here for VM or ring it in
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Tony