You are putting the cart before the horse. Congress is the only body that has the Constitutional authority to indict (impeach), investigate, and bring the president to trial once he has been elected and sworn in. Until the president resigns or in found guilty in the Senate, he IS the president. Again, see de facto officer doctrine.
Biden was elected VP, not President. The VP becomes President if the President dies or is impeached and removed. That would not be the case for an ineligible usurper.
Either you can back that up with more than just your intuition, or you're making it up.
Nope, you are. Trying to impeach someone who isn't a legitimate office holder.
I'll say it again, merely being sworn in does not a President make. It's takes eligibility(NBC, 35+ y/o, 14 years a US resident) , winning the electoral college (with a majority or being selected by the House from the top 3 vote getters if no one gets a majority), swearing the oath of office, and for the clock to reach noon on January 4th. If any of those are not satisfied, then the dude isn't President.