Congratulations on your approach to learning how to think critically! One of the best ways to do so, is to read or listen to people you disagree with, and try to understand both what is valid in what they say, and where they have reasoning errors. I urge you to read, rather than watch videos though, as critical thinking generally works better with text than in video.
What you will find, is that ALMOST ALL POVs are inadequately supported, even by the strongest reasoners and most eloquent arguments. Fundamentally, we DON'T have a strong case for a specific metaphysical view over all others, and understanding where the holes are in the justification of a particular POV will pay off massively for you in being better able to think critically about all other questions in life going forward.
However, the section of the video you are keying on is less than a minute of one video, which of necessity CANNOT have an argument in it. Hence all it consists of are summary statements by Dawkins, NOT ARGUMENTS. Therefore it really doesn't have fallacies in it. Once more -- go to essays or books by Dawkins, THEN critique the detailed arguments he makes.
Your five points are of variable validity. For 1, Dawkins points out that not all religions can be true, and the adherents of competing religions have no difficulty asserting their rivals are untrue. Dawkins again, in this showrt section Dawkins can't make his full case, but what he is referencing is an inference argument that ALL of these critiques of rival religions are pretty widely accepted as valid (the majority reject each religion), and therefore it is reasonable to infer that NONE of the rival religions are true. This is not a definitive knock-down argument, as is true in general of inference arguments, and invlvves a leap beyond the evidence. For any specific theist, they would want to see the argument against their views, and would want to present the counter-rebuttals. So this argument is not effective for any THEIST, but is primarily effective to help atheists rationalize why not to bother with this process. If Dawkins provided examples of doing this examination in good faith for 5-6 instances, and showed that the theists counter-arguments are in each case weak, and THEN inferred that this is likely to be the case for all religions, THEN this inference argument would be much more strong, and not a fallacy.
- Argument by analogy is not a fallacy, but is just a particularly weak form of argument. One can make analogies that support both sides of every dispute, hence the existence of an analogy is not actually an argument. What it is is an assistance to the listener to open their mind to consider a claim, because of the similarity to other claims the listener knows are valid. Treat this as just a minimal plausibility assist, not really an argument.
3 is not a fallacy, but it is an unsupported claim in this video. IF you actually examine this claim in any longer form with supporting argument provided, you will find that it is false. ALL religions have multiple evidences in favor of each of their views. That evidence is in conflict with the evidence for the competing religions, and is weak and unconvincing enough that non-theists will not find it compelling. So in the long form, this would not be a fallacy, this would just be a falsehood, which overstates the "not sufficiently convincing" actual situation.
- Dawkins does focus on the unitary God of the Abrahamic faiths, and incorrectly treats arguments against monotheism as definitive against religion. I did not really see that here, but you will find this fallacy in his longer discussions.
I did not understand your claim #5.