OK, much better picture of what is going on.
not a big fan of fuges, but i do suggest not going with the DSB remotely. you can keep the Chaeoto, but the
remote DSB will accumulate phosphates much faster than you think and will need to be replaced quite often. it is better to just leave that area BB and siphon it out once a week during your water changes.
depending on the power of the pump it may suck air in from the surface. with 2 1" inlets this will be lessened significantly. do you have an idea on what kind of aquascaping you are thinking about doing? this may help you finguring out a good placement for your inlets/outlets.
if you do a search for spraybars, you will get quite a lot of different designs for them. they use a lot more water than you think. if you plan on incorporating one than i would easily double the flow you were thinking for the pump. you will also need to add ball valves on the non-spraybar outlets to allow more water to get to the spraybar instead of the outlets.
as far as the skimmer goes. use it, not a problem, it just seemed odd to have a HOB if you have a sump.
G~