There is no set number of days that arbitration has to take place. It would be wise of you to seek counsel from an employment attorney especially...

Do I need a lawyer

There are legal technicalities that may bar you from suing your employer, but you should definitely see someone to pursue any potential claims....

Yes, unfortunately an employer does not need a reason to demote you. In employer employee relationships not all is fair, but that doesn't make it...

Can they verbally fire me and then just call and say I need to go to work

Assuming that you are an "at-will" employee (as most Texas employees are), your employer cannot require you to go to work nor can you require your...