Will switch immigration lawyers cause a delay in the authorization process?

There is no reason a change of attorneys will cause a delay in the process.

Do I answer Yes for the question " are you immigrating to the US with your spouse in filing Ds 260". And give reason why yes.

Your spouse should be completing the DS-260 and since she is immigrating not with you and presumably not with any children the answer is no

Will switching lawyer have any negative effect on my immigration case when the case is already filed?

Generally there is no impact on the matter at immigration.

Hello sir, As a derivative asylee,what are we supposed to do to get an EAD card since we are here very first time?

You do not appear to presently eligible . Contact an immigration attorney or volunteer agency that assists with asylum for help.

You are past the permissible time for remaining after being dismissed from school. Consider talking with an immigration attorney before departing...

What will happen to my applications?

Usually it takes 3 to 4 weeks after being received at USCIS before a receipt is issued.

Since you are not having success with TRIG try the customer service telephone number or an infopass appointment at the local USCIS office.

I summited my application to renewal my DACA permit on feb13 and I haven't gotten a response 6-20-2017

Try an infopass appointment at the local CIS office or call customer service.

DS-160: Has anyone ever filed an immigrant petition on your behalf with the United States Citizenship and Immigration Services?

You need to reply yes and provide an explanation

Since you wife is a US citizen you are an immediate relative and there are no priority dates. The transfer to the local office is a step closer to...