Oh I never knew this. I always viewed these as just a porous pebble that bacteria can grow on the boost the biological filtration. I will remove them.
Let's fix the premise. Aquaclear Bio Max are NOT bio pellets.
They are porous media with a lot of surface area for the beneficial bacteria to call home and perform nitrification - the conversion of ammonia (NH3) to nitrite (NO2) and then to nitrate (NO3). While this is biological filtration, the term bio pellets refers so specialized pellets that are used for carbon dosing. So my apologies the confusion and not looking closer at the product pic you posted.
So, for biological filtration, in reef tanks the rock (and sand) provide huge amounts of surface area for the nitrification to take place, so the filtration media is more important in freshwater tanks.
That is not to say, some reefers add additional media like marine pure blocks, bio balls (similar to your aquaclear) and rubble rock in their sumps in addition to the live rock in ones reef tank.
So the first question to ask is if the live rock in your tank is sufficient to convert ammonia to ultilmately the less harmful NO3? (Note: some bacteria by pass the process and synthesize NH3 into nitrogen gas (N2) which escapes out the water). That can only be known by accurate water testing with reliable test kits.
NO3 and PO4 are the building blocks of life and both the corals and algae use it for photosynthesis. You can look up more on this but in a new reef tank, the rock is being covered in a beneficial biofilm of bacteria and coraline algae that helps keep the nuisance algae from tanking hold. Also, corals reefs are like deserts in the ocean with only trace amounts of NO3 & PO4 - and so the many corals will not do well in tanks with high NO3 and PO4 (phosphates also limit coral skeleton growth. You can read up on this.
So it becomes important in new tanks to keep NO3 and PO4 low. BRS recommends that tanks that are 1 -2 years old target a range of 1-2ppm NO3 and 0.03 - 0.07 ppm. So removal of excess NO3 and PO4 is desired.
In a 10 gal nano, removal of excess NO3 and PO4 is usually accomplished by water changes (and in your case the skimmer by removal of the organics before they break down.
There is little room in a 10gal for a UV sterilizer nor is it needed. The aquaclear may not be needed if your rock is handling NH3 - NO2 - NO3. Thus you may want to swap that out for activated carbon which will help remove any yellow tint from the water (plus coral toxins and other nasty stuff)
1. Make sure your water parameters are good, with reliable test kits including NO3 and PO4
2. Keep up the water changes (with good quality salt water - and use rodi of you make your own mix)