Welcome to the forum Widdy.
You are looking at a fairly full stocking of fish with your list but it should be OK once you get the new filter cycled.
If your tank is new, you do not have a filter but merely a piece of hardware that may some day become a filter. What we do with a fishless cycle, the kind most of us prefer, is to establish a filter capable of removing organic poisons from the water.
Each fish, or any other living thing, produces ammonia as a byproduct of organic processes. In fish it shows up in the water from the fish's gills, the fish's waste and from any food that is not eaten. Ammonia in very small amounts can damage your fish so it needs to be removed. The only reliable way to do that for a new tank is by using a bacterial colony that converts any ammonia to nitrites. Unfortunately the nitrites are just as deadly as the ammonia but another kind of bacteria exist that will convert nitrites to nitrates. Nitrates are quite safe for fish compared to ammonia or nitrites so we encourage the bacteria to reproduce and grow in our filters. Once we have an adequate population of bacteria living in our filters to handle the fish waste, we stop using artificial sources of ammonia and start using actual fish to keep the bacteria fed, but in the process the fish are protected by the bacteria in a mutually beneficial arrangement. Once you have that cycled filter you no longer just have an inert piece of hardware but what I call a filter.
At that point you are really ready for your first fish. If you are very impatient, as some people are, you can add some of your fish to the tank before you have a functional filter. Where that leaves you is doing a fish-in cycle which is quite a bit more work than a fishless cycle but can be done with success if you are willing to put the work into the large daily water changes to keep the fish healthy. What it amounts to is that you are taking the place of the beneficial bacteria and keeping the water safe for the fish in the tank. Eventually, the fish-in cycle will produce just as nice a cycled tank as a fishless method but the water changes involved are daunting.
There is a link in my signature area to instructions for each type of cycle. It is up to you which way to go but please do not add any of your shrimp or cories until the cycle is done. The rasboras stand a decent chance of surviving a fish-in situation if you are diligent enough.
with your fish- I bet you'll have a load of fun!
