When do minors have the right to stop seeing a non custodial parent?

It's not a specific age...but he can not have you arrested or force you to go. Your mother may want to go to Family Court and seek modification of...

My 3 yr old son's mother left him in the house while she walked to the store crossing a major hwy he end up leaving out the

Easy, no. Possible, yes. Consult a local attorney ASAP.

No. But he can get custody taken away from you. So be careful and discuss the situation in detail with a local attorney - and do NOT post things...

My divorce was in CO. Our children live with the the ex. The 14 year old ran away and came to live with me in TX. Can he stay.

What does your divorce settlement or judgment say?

If the divorce is granted and joint custody is agreed on with the father paying child support, can the father fight for custody

Sure. But it's not clear that he'll win. You should consult a local attorney and discuss the situation in detail.

Could I use my ex's messages through a social media talking about him using drugs against him through court for a custody case?

If it can be authenticated, probably yes - but you should contact a local attorney familiar with the rulings of your judge to be more certain.

What can be done in this situation?

That depends upon your custody order...

Can anyone tell me how the law in Colorado works where moving is concerned?

It's possible grounds to reopen whatever your settlement or court order is - but it's something you need to discuss with a local attorney. Absent a...

Undoubtedly. But the chance of success is near zero.

Can my step-daughter's mom (she only has visitation) be charged with contributing to the deliquency of a minor?

That's a question that can only be answered by your local prosecutor. But I'd bet against it.