Do I need a divorce if we both own real estate together after a 10yr domestic partnership?

If you own it together it can get complicated. Consult a local attorney ASAP to protect your position.

I am filing for a continuance of my divorce trial due to the fact that my attorney has withdrawn

The simple way would be to hire the attorney ASAP and have the attorney seek the adjournment.

You may have grounds to attack venue - but the bottom line will simply be that the case gets moved. You may find it expedient to handle the divorce...

My wife filed for divorce stating a domestic relations law 170, and constructive abandonment in the divorce papers.

File a motion with the court seeking a modification of the OP permission to serve her with papers. You'll probably need the help of an attorney.

Divorced 4years, now have new boyfriend and baby, court wants new boyfriend to move out every other weekend when children from x

Consult a local attorney and get the order modified.

If a divorce decree was not shown by my husband from his previous marriage are we legally married?

Showing a divorce decree is not an issue. Having one is.

Service in Mexico can not be accomplished by a private individual, but must be through the Hague Convention unless the court allows alternate service.

Divorce - served by the sheriff

not unless she lives there and is of sufficient age.

My soon to be ex husband, filed for divorced in Feb. 2013

The right step is to consult a local attorney to extricate yourself from the confusion.

How do we change our divorce decree such that my ex. is named as "Primary Parent?"

Consult a local attorney to have the appropriate stipulation drafted and filed.