Can a UK non-profit and a US LLC conduct business simultaneously??

I don't see a problem on this end, here in America. What do you mean by "interact"? Check here with a tax attorney and in the UK for best way...

Could you tell me how to go about doing/ getting an affidavit for witnesses.

You want to prepare an affidavit for whom and for what purpose?

How can I file a order to show cause (appeal my loosing case) if my lawyer doesnt return my phone calls that I need the file.

The attorney must return your file to you. The attorney will want a Consent to Change Attorney filed before returning the file.

What are our options with this matter?

Yes. This can be easily accomplished. The necessary documents are not complicated.

Do i have any legal right to file a complaint to the bar association against opposing counsel for falsely filing court papers?

Q. my question is... do i have any legal right to file a complaint to the bar association for her blatantly filing mis-information to the court...

Will the preliminary contract be valid if it is composed by a non certified lawyer?

An agreement is an agreement. I do not exactly understand what you mean by "preliminary". If the agreement can be "authenticated," it will be...

How do I present a position that I am willing to take further action against him for defamation/slander?

A simple letter...............................

I would disclose it. If you don't, and it's discovered, the Court will turn against you.

You can appeal. You would need a "stay" on appeal.

The promissory note has two (due) installment dates and I would like to know when the statue of limitations start.

Q. promissory note that was signed and notorized with the state left out pa/ny wasn't sure which. A. Jurisdiction may lie in one or both...