Does very soon to be ex wife who deserted marriage get the engagement ring?

You should really go and speak to a divorce attorney.

Can I request a Visa E-2 from EEUU?

You should consult with an immigration attorney and discuss your options

Will my wife be staying legally AFTER the 90 days of her k1 expiring, if we get married within those 90 days?

You should file the Immigration papers immediately do not wait. We don't no what the new administration will do

Can We use the work permit as proof of residency, along with the I-751 receipt notice to re-entry the country?

You can make an info pass and go to immigration and they can stamp your passport

Can I travel from LA to Florida with a work authorization permit?

Yes you can travel with your EAD. As long as it's valid

My application can be denied if I said I worked with my expired tourist visa?

You should really hire a immigration attorney to help you with this. Immigration is very complex

How can i write my boyfriend name on our baby birth certificate , when he is not there ?

Every state is different you should contact vital records in your state

If you were ever finger printed for a crime or if you have been arrested it will show up

What answer would I check for part 3B on the form I485 that asks if my US citizen spouse is filing with me?

It will be no. She not the one getting the green card

Can I use my Work permit card or instruction permit card for domestic flights?

As long as your ID card is valid you could be ok