Take for instance, the top one -- "classify the Westboro Baptist Church as a hate group" or the various succession petitions. Is there a federal agency that regulates hate groups? Or classifies who is a hate group and who is not? No. "Hate Group" is a label used by the private NGO sector -- in this case the ADL and SPLC (two non-governmental organizations) maintain lists of hate groups.
Nor does one "incorporate" via the federal government. You incorporate in a state. Stripping Westboro of their tax exempt status should be the lead ask there, and yet those petitions are far less popular than the original? Why? Because it's a more severe ask.
Same with "recount the election" -- the federal government doesn't count votes!
Restrict pay for senators? Seriously, c'mon. We all learned about separation of powers, right?
Petitions do work. What a lobbyist does is petition the government. They're just professional at it, and why we presume that a developer or a plumber or a chicken farmer should be as good of a lobbyist as a professional lobbyist is, is beyond me.
Petitions work. But there's a lot more to getting petitions to affect change than writing some nonsense on a web page and getting a bunch of people to agree with you. Is the expectation that if .01% of the US Population clicks a +1 button on a website then the federal government will change a law? That's a scary proposition.