What does "respondent shall file with this Court confirmation of Skype availability within 7 days..." mean

File officially that you will be available by Skype

When I read "respondent shall file with this Court confirmation of Skype availability within 7 days..." what does that mean

File officially that you are available on Skype

Objections

You may object and prosecute the objection with argument, sure.

Deem facts admitted

From your sparse facts here it appears you did not timely serve the offending party

If a collection agency call me a "telephone tough guy" can i sue

This is not enough for a defamation lawsuit against the caller

Need to sue amazon

Take your case to small claims court complete with proofs and proper service of process

If objections to interrogatories are filed with the Court, do they have to be heard by the Court in order to preserve them?

Why not seek a hearing as the party asserting the objections?

Is it within my constitution right to have a trial decided by a judge rather then a jury of my peers?

Too few details are provided to know if the jury trial right is triggered here

Do I have any legal grounds to sue for wrongful termination?

If race or age was the basis for the firing you might be able to file with the EEOC.

What you do not have is proof that you were the actual winner.