Will this affect my green card process ? Thank you

US citizen spousal sponsorship forgives unauthorized employment prior to filing the I-130/I-485, et al.

Can the form-i29H be filed in premium processing so that I get it in 15 days?

If the incorrect name is a USCIS mistake, you, your company, your attorney, may call customer service and ask for it to be corrected.

What are my options to be legally residing in the country? WillI I go out of status?

your current employer is required to pay you while on bench. If the employer terminates your employment and withdraws your H you are out of status.

You will likely be considered to require a visa to re-enter in H1B status. There is a provision where CBP will charge a $600+ penalty and admit you...

What is the minimum salary for H1B?

the minimum H1B salary varies by geographic area, occupation, and responsibility and experience level.

I-751 pending and divorce pending and i am officially going crazy

What you obtained from USCIS website is correct. If you receive an RFE or an Interview you can respond as needed.

Can someone explain to me whether these frequent weekend travels would have an effect on my application?

Brief trips outside the US will not negatively impact your qualification for naturalization. Since, travel disclosure is required on the form....

If you timely filed the I-539 with USCIS the answer is 'no', as she was lawfully present, in a period of authorized stay, and not overstaying.

Can I stay in US with valid I-94 but expired L1-A visa?

You may stay. The visa is a travel document. The I-94 is your status in the US. To maintain status you must continue your L-1 employment.

Can I get a H1b from another company to consult while I work for my current job (currently under tn visa) ?

Any US employment not specifically authorized will render you out of status and unlawfully present.