Yes, but you are claiming that specific features require intelligent design. For those features, you need to not only show that evolution cannot explain them, but also that intelligent design can explain them better. That’s not going to happen, since intelligent design does not make quantifiable predictions.
No, it is the “my evidence is better than literally none” claim. 
Yes. In this thread alone, I have provided many studies showing that new functional proteins are not uncommon in sequence space, and we have also shown you several examples where we have observed de novo proteins evolving in real time, in the last few decades.
In addition, @evograd linked a recent literature review that summarizes the evidence, from recent experiments, that monomeric proteins can rapidly evolve into multimeric protein complexes, often with only one or two mutations (Pillai et al. 2022).
Altogether, this shows that unguided evolutionary processes can explain the origin of large protein complexes. And, as it happens, there has been research on the evolution of the spliceosome. We now have a fairly good idea of at least how the main catalytic protein of the spliceosome, Prp8, evolved from earlier transposable elements (Dlakic and Mushegian 2011).
Now, I know that you’re just going to move the goalposts again and name other parts of the cell that you don’t think evolution can explain. And maybe we haven’t yet figured out how evolution can explain those protein complexes, or metabolic pathways, etc.
But the main point is, evolution has a great explanatory power, whereas intelligent design has no fulfilled predictions. The only prediction of intelligent design is that “evolution won’t be able to explain insert feature here,” but every prediction of that type has failed so far.
Now, let me ask you: “Do you have real evidence that [intelligent design] can explain the diversity of life? Maybe you can explain how [God created] the spliceosome with a tested model?”